URGENT!! Really need help on this test

When the sun is at a certain angle in the sky, a 50-foot building will cast a -foot shadow. What is the length of the shadow in

Serhud [2]

Answer:

0.40 foot

Step-by-step explanation:

In the first case, a 50 - foot building casts a- foot shadow (1-foot). Let the angle of elevation of the sun from the shadow be represented by θ.

Then:

Tan θ = $\frac{opposite}{adjacent}$

Tan θ = $\frac{50}{1}$

Tan θ = 50

⇒ θ = $Tan^{-1}$ 50

= 88.8542

= $88.85^{o}$

The angle of elevation is approximately $88.85^{o}$ .

For a 20-foot pole,

Tan θ = $\frac{opposite}{adjacent}$

Tan $88.85^{o}$ = $\frac{20}{x}$

x = $\frac{20}{Tan 88.85^{o} }$

= 0.4015

= 0.40 foot

The length of the shadow of the pole is 0.40 foot.

4 0

3 years ago

Serena uses chalk to draw a straight line on the sidewalk. The line is 12 ft long. She wants to divide the line into sections th

ElenaW [278]

<h3><u>Question:</u></h3>

Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

<h3><u>Answer:</u></h3>

The number of sections that the line is divided is 4

<h3><u>Solution:</u></h3>

Given that, Serena uses chalk to draw a straight line on the sidewalk

The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long

From given,

$Total\ length\ of\ line = \frac{1}{2} \text{ feet }\\\\Length\ of\ each\ section = \frac{1}{8} \text{ feet }$

To find: Number of sections can be made

The number of sections that can be made is found by dividing the total length of line by length of each section

$\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of each section}}$

Substituting the values, we get,

$\text{Number of sections } = \frac{\frac{1}{2}}{\frac{1}{8}}\\\\\text{Number of sections } = \frac{1}{2} \times \frac{8}{1}\\\\\text{Number of sections } = 4$

Thus number of sections that the line is divided is 4

8 0

3 years ago

A 47 inch piece of steel is cut into three pieces so that the second piece is twiceAs long as the first piece and the third piec

Neko [114]

Confused be more detailed ;)
Please not trying to be rid

5 0

3 years ago

Determine the intercepts of the line.

Hitman42 [59]

Answer:

x intercept= 0.3, y intercept= 0.4

Step-by-step explanation:

x intercept= 0.3

y intercept= 0.4

Bruh this ain't even that hard... All you have to do is read the point and write it down.

Hope this helps tho lol :)

4 0

4 years ago

Read 2 more answers

Find the measure of x.

Ratling [72]

<h3>Answer: B. x = 6</h3>

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Explanation:

Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.

Set them equal to each other and solve for x.

15(x+2) = 120

15x+30 = 120

15x = 120-30

15x = 90

x = 90/15

x = 6

Or we could have the steps like this

15(x+2) = 120

x+2 = 120/15

x+2 = 8

x = 8-2

x = 6

7 0

2 years ago