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Svetllana [295]
3 years ago
11

Please help thank you and show all work.

Mathematics
1 answer:
Daniel [21]3 years ago
6 0
Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

51*tan(15)
\approx 14

Now, subtract that from 207 to get the height of the smaller building.

207-14=193

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

3x+1=2(x+8)

Distributive property

3x+1=2x+16

Subtract both sides by 1 and 2x

x=15

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)

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