Question

a 320-foot tree casts a 130-foot shadow on horizontal ground. a girl lying on the grass at the tip of the shadow is looking at a bird nesting at the top of the tree. at what angle is the girl looking up? assume that the tree grows at a right angle to the ground g

Answer 1

Answer:$\theta =67.88^{\circ}$

Explanation:

Given

Height of tree is H=320 ft

length of shadow L=130 ft

let $\theta$ be the angle of elevation

using trigonometric relation

$\tan \theta =\frac{H}{L}$

$\tan \theta =\frac{320}{130}$

$\theta =tan^{-1}(2.461)$

$\theta =67.88^{\circ}$