Question

Juan is on the roof of that building. He isn't going to jump. He is spying on his ex girlfriend and her new boyfriend the angle of depression is 24. He hates her she just moved on like he didn't matter. He notices them sitting on the bench from the foot of the building. How far is the bench from the foot of the building?

Answer 1

27m approx based on 12m height of building

Explanation:

Note since the height of the building is not given, we will assume a height of 12m

Step one:

Angle of depression =24°

Let the distance of the bench from the foot of the building be x

Applying SOH CAH TOA

opposite is to the angle of depression is the height which is assumed to be 12m

The distance of the bench from the foot of the building is the adjacent

Tan 24=Opp/Adj

Tan24=12/x

x=12/Tan24

x=12/0.445

x=26.9

27m approx.

We assumed a height of 12m, you can as well use the actual height that you have and plug into the solution. Meanwhile a height of 12m gives 27m approximately