Question

Please help thank you and show all work.

Answer 1

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! :)