Question

A 47-foot tall tree casts a shadow that is 89 feet long find the measure of the angle elevation

Answer 1

The angle is
`\theta =27.84^o`

Explanation:

From the question we are told that

The height of the tree is
`h = 47 \ ft`

The length of the shadow is
`L = 89 \ ft`

Generally applying SOHCAHTOA , the angle of elevation is evaluated as

`tan \theta = (h)/(L )`

=>
`tan \theta = (47)/(89)`

=>
`tan \theta = 0.52809`

=>
`\theta = tan^(-1) [0.52809 ]`

=>
`\theta =27.84^o`