Question

Need help with these three answers please!

Answer 1

I will show you how to solve it by solving the 1st, after you will apply the same methodology:


Let the right triangle be ABC, (A the tree house, B the perpendicular to the ground).

Firstly the angle of depression being 32°, then the angle A of the triangle is 48° (32+48=90) then Angle C=42° & B=90°

We know that AB = 14ft, but we need another side to be able to use trigonometry. To that end we use the sin theorem:

AB/ sin 48 = AC/sin90 = CB/sin 42.

To calculate AC: we use AB/ sin 48 = AC/sin90

AB=14 (given) & sin90°=1====>14/0.743 = AC/1 ==> AC=18.938 FT