Question

Question #8835d

Answer 1

15.17 ft (4 significant digits).

Explanation:

Let A be the bird's nest, B be the point where Juwan measures the 36 degree angle, C be the point from which Juean looks straight up at the nest. Then we have a right triangle ABC with the right angle at C, angle B measuring 36 degrees, and leg BC mrasuring 14 ft. We then have:

`{AC}/{BC}=\tan(36°)`
`=\sqrt{5-2\sqrt{5}}`
`=0.7265`
(4 significant digits)

Then

`AC=(0.7265)(14)=10.17 ft.`

Add 5 ft for the height of Juwan's eyes to get a total of 15.17 ft.