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)`

Step-by-step 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 =(H)/(L)`

`\tan \theta =(320)/(130)`

`\theta =tan^(-1)(2.461)`

`\theta =67.88^(\circ)`