A boy 14 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the...

A boy 14 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.

Answer Details

The angle of elevation

= Tan θ = oppadj $\frac{\mathrm{<br>}}{}$

Tan θ = 12+1410 $\frac{\mathrm{<br>}}{}$

Tan θ =  2610 $\frac{\mathrm{<br>}}{}$

θ = Tan−1 ${}^{<br>}$(2.6)

θ ≈ 70º