Question

Find the height of the tree.

Answer 1

Answer:

16 ft

Step-by-step explanation:

We start by converting 1yd to ft,

1yd = 3ft

So in the smaller triangle, we have 3ft, 4.5ft. Using Sine, Cos, and Tan rule. We know that

TanΦ = opposite / adjacent

TanΦ = 3ft / 4.5ft

TanΦ = 0.667

Φ = Tan^-1 0.6

Φ = 33.69

This means that the angle of elevation is 33.69°

Using this angle, and the same tan rule again, we gave

Tan 33.69 = opp/24

0.667 = opp/24

opp = 24 * 0.667

opp = 16 ft

Answer 2

16 ft is the answer to the question