Solve for the height of the building when the distance between the building and a person is 27
meters and the angle of elevation from the person is 49º. Construct a diagram to help you
solve. Round your answer to the nearest meter.

Answers

Answer 1

9514 1404 393

Answer:

  31 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

With reference to the attached diagram, we have ...

  tan(49°) = BG/GP

  BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m

The height of the building is about 31 meters.

Solve For The Height Of The Building When The Distance Between The Building And A Person Is 27meters

Related Questions

Tara has 3 over 4 cup of ice cream. How many 1 over 5-cup servings are in 3 over 4 cup of ice cream?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Tara has :

[tex] \dfrac{3}{4} \: \: cup \: \: of \: \: ice \: cream[/tex]

Each servings :

[tex] \dfrac{1}{5} [/tex]

Total number of servings is equal to :

[tex] \dfrac{3}{4} \div \dfrac{1}{5} [/tex]

[tex] \dfrac{3}{4} \times 5[/tex]

[tex] \dfrac{15}{4} [/tex]

[tex]3 \dfrac{3}{4} [/tex]

Step-by-step explanation:

Tara has ¾ cup of icecream

Each serving:

= ⅕

Total no. of servings

= ¾ ÷ ⅕

= ¾×5

= 15/4

= 3¾ or 3.75

Jamarie makes a decorative bookmark of size 2" x 6" for his teacher. Find the
area of the bookmark. *

Answers

Answer:area is 12

Step-by-step explanation:

Please Help me!! (No Links Please) HELP!!!

Answers

Answer:D

Step-by-step explanation:

A is not Linear

B is not Linear

C is not Linear

What is the value of 5^3i^9?
A. -125i
B. -15i
C. 15i
D. 125i

Answers

Answer:

125i

Step-by-step explanation:

(5^3)(i^9)

=125(i^9)

=125i <-------????

Sorry not sure <:0

Are these functions inverses of each other?Be sure to explain how you know they are inverse or why they are not. Show all work necessary.

Answers

Answer:

Yes. f(x) and g(x) are inverses of one another

Step-by-step explanation:

[tex]f(x) = - \frac{1}{2} x - 2 \\ y = - \frac{1}{2} x - 2 \\ x = - \frac{1}{2} y - 2 \\ x + 2 = - \frac{1}{2} y \\ - 2(x + 2) = - \frac{1}{2} y \times - 2 \\ - 2x - 4 = y \\ {f }^{ - 1} (x) = - 2x - 4[/tex]

In step 1 we just copied the original function.

In step 2 we substituted y for f(x).

in step 3 we switched the variables.

in step 4 we added 2 to both sides.

in step 5 we multiply both sides by -2

In step 6 we solved for y.

In step 7 is just a fancy way of saying the inverse function f(x) = -2x - 4

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

2 millimeters

Step-by-step explanation:

Since that 1 millimeter is 10 meters then 20 meters which is twice will be 2 millimeters. :)

Please help me solve this problem

Answers

Answer:

i am sorry but plz help me

What is the Gcf of 225 and 415

Answers

Answer:

5

Step-by-step explanation:

To get the Greates Common Factor (GCF) of 225 and 415 we need to factor each value first and then we choose all the copies of factors and multiply them:

225:    3 3 5 5  

415:        5   83

GCF:        5    

The Greates Common Factor (GCF) is:   5

Answer:

5

Step-by-step explanation:

The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225

The factors of 415 are: 1, 5, 83, 415

Then the greatest common factor is 5.

Somebody please help me w/ this <3

Answers

Answer:

2 times

Step-by-step explanation:

The longest worm is 2 times the length of the shortest worm

f(x)=10x^2-5x-3, evaluate f(-3)

Answers

Answer:

f(-3)= 10(-3)^2 - 5(-3) - 3

       =90 + 15 -3

f(-3) = 102

Step-by-step explanation:

A pot contains 30 ounce's of soil. You use 2 3/4 ounces of soil to plant 1 herb.Is there enough soil in the pot to plant 10 herbs?

Answers

Yes, because if you round 2 3/4 to 3 And then divide 30 by 3 you get 10 so you could plant 10 plants

g(x)=2x^2-3 translate 9 units up

Answers

g(x)=2x^{2}+6

all you have to do is change the b vale of the equation

4. As Jody dives below the water, its temperature decreases by 0.3 degrees Fahrenheit per foot that he dives. If
Jody is diving at a rate of 2.5 feet per second and the water at the surface is at a temperature of 68 degrees
Fahrenheit then what is the temperature of the water Jody is in after diving for 20 seconds?

Answers

Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:

[tex]20 \times 2.5 = 50[/tex]

The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:

[tex]T(f) = 68 - 0.3f[/tex]

Jody is at a depth of 50 feet, thus the temperature is T(50).

[tex]T(50) = 68 - 0.3(50) = 53[/tex]

The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

A similar problem is given at https://brainly.com/question/24316569

Evaluate.

(w2x−3)÷10⋅z when w=−4, x = 0.8, and z=−4/5

Enter your answer as a simplified mixed number in the box.

Answers

Answer:

⅘ ≈ 0,8

Step-by-step explanation:

(w2x - 3) ÷ 10 × z

= (-4 × 2 × 0,8) ÷ 10 × -⅘

= (-8 × 0,8) ÷ -8

= -6,4 ÷ -8

= ⅘ ≈ 0,8

Conclusion:

Evalute (w2x - 3) ÷ 10 × z is ⅘ ≈ 0,8.

[tex] [/tex]

After using the linear equations method we will get 1.76.


What is linear equations?
An equation is said to be linear if the highest power of a variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its highest value. No variable in a linear equation, then, has an exponent greater than 1. A linear equation's graph will always be a straight line.

How to calculate question by adding their values in the given equation?

firstly, the given equation is: [w2x-3]/10z
the things or values which are given to us:
w=-4x=0.8z=-4.5
Now putting all the values in the given equation:
[-4*2*0.8-3]/10*-4.5-9.72/-5.5
[by solving the brackets]1.76 [by solving the equation]

Hence the answer is, 1.76

To learn more about linear equations
https://brainly.com/question/2030026
#SPJ2

ANSWER QUICK PLEASE!!
Factor the expression 24 y - 40 using the greatest common factor of the terms.
A. 4(6y - 20)
B. 8(3y - 5)
C. 4(24y - 40)
D. 8(3y + 5)

Answers

Answer:

Step-by-step explanation:

B

yes, it is B!!!
good luck on the rest of your assessment!!

Convert 34.6 centimeters to inches. Use 1 in=2.54 cm.

Answers

13.6220472441 inches.

I need help I never got taught how to do this

Answers

Answer:

736cm²

Step-by-step explanation:

The surface area of a regular pyramid is equal to:

area of the square base + 1/2ps

where p is the perimeter of the base and

s is the height of the slant line of the pyramid.

In your drawing s = 15cm and the base has four equal lengths of 16cm

So first find the area of the base.  Since this is a square, the area is just the

length x the width or 16cm x 16cm = 256cm²

(p) is the perimeter of the base.  Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm  or  4 x 16cm which is 64cm.

You already were given (s) which is the height of the slanted side from the base to the pointed top.  The drawing gives you this as 15cm.

So plugging all this into the formula, you get:

Surface Area = Area of Base + 1/2 p s

                      =  256 cm² + [1/2 ( 64cm )(15cm)]

                      =  256 cm²  +  {1/2 ( 960 cm²)]

                      =  256 cm²  +  480 cm²

                      =  736 cm²

3.HELP plz No LINKS AND NO HACKERS i will give brainlyiest NO COPIE D ANSWERSFROM OTHER USERS OR WEBSITE I WILL REPORT!!!! A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.
(a) Write an equation to model the situation. Use the formula d = rt.
(b) Explain why it is reasonable to write the distance, d, as a positive number.
(c) How long did it take the diver to reach the surface?

Answers

Answer:

A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.

a. using the formula d = rt, so 32.12 m = 8.8m/min (t)

b. it is reasonable to write the distance as positive because the diver is accending/ going up the surface

c. t = 32.12/ 8.8 = 3.65 min

Step-by-step explanation:

hope this helps

A cyclist travels at an average speed of 15 mph for 4 hours. How far did she travel in miles?

Answers

Answer:

60 miles per hour

Step-by-step explanation:

15 mph (miles per hour) and he traveled for 4 hours so 15 per hour times 4 which is 60 and thats your answer

60 miles pee hour :)

simplify the expression shown

A:-xy+3y
B:xy+3y
C:-xy-3y
D:xy-3y​

Answers

Answer:

C:-xy-3y is the answer your welcome

A rectangular water tank has the following dimension:
Length = 3 feet, Width = 2 feet, Height = 2.5 feet. Find the amount of water it can hold in cubic centimeter.

Answers

Answer:

424,752.7 cm³

Step-by-step explanation:

Since you need to convert from English units to Metric units, you can do that first.

Convert each measurement to centimeters instead of feet since your final answer is in cubic centimeters.

1 foot = 30.48 centimeters

Length = 3 ft    30.48cm

              -----  x ------------    =  91.44 cm

                1            1 ft

Width =  2 ft       30.48cm

            -------  x  -------------  =   60.96 cm

                1             1 ft

Height = 2.5 ft      30.48cm

              --------  x  ------------  =  76.2 cm

                  1            1 ft

The volume is equal to L x W x H

91.44cm x 60.96cm x 76.2cm = 424,752.7 cubic centimeters

fast 100 points right check

Answers

Answer:

It won't let me put my answer sorry

Please help help help

Find the value of x if the two triangles are similar. Explain.

Answers

Given :

The given two triangles are similar .

To find :-

The value of x .

Solution :

In larger triangle :-

90 + y + y = 180

2y = 180 - 90

2y = 90

y = 45°

As we know that ,

Corresponding Angles of similar triangles are same ,

15x = 45

x = 45/15

x = 3

Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $AQ = 6,$ $BQ = 12$, and $CD = 38$, then find the minimum length of $CQ$.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The products of chord lengths are the same for the intersecting chords:

  AQ×BQ = CQ×DQ

  6×12 = CQ×(38 -CQ)

This gives a quadratic in CQ:

  CQ² -38CQ +72 = 0 . . . . . write in standard form

  (CQ -2)(CQ -36) = 0 . . . . . factor the quadratic

  CQ = 2 or 36 . . . . . . . values of CQ that make the factors zero

The minimum length of CQ is 2 units. (DQ will be 36.)

Does this equation have exactly one solution ​

Answers

Answer:

[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]

Write a quadratic equation in STANDARD FORM given the roots:
1, 1/2

Answers

Answer:

f(x) = 2x^2 - 3x + 1

Step-by-step explanation:

The root 1 is associated with the factor (x - 1).

The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)

The quadratic in question is f(x) = (x - 1)(2x - 1).  To write this in standard form, perform the indicated multiplication:

f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1

What is the graph of y <= 5x + 2?

Answers

Here is the graph! Hopes this helped

Given the expression -15 (10 2/3) A. Rewrite the expression using distributive property B. Evaluate the expression in show all your work.

Answers

9514 1404 393

Answer:

  -160

Step-by-step explanation:

  -15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160

The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.


Which fruit stand, A or B, offers a better deal on blueberries

Answers

Answer:

Step-by-step explanation:

Answer:BStep-by-step explanation:B cost less money bet has the same

An entry level technical writer's annual pay is $53,768 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease?

Answers

Answer:

im not too sure

Step-by-step explanation:

I think it is £1068 but I’m not sure
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