Question

A spruce tree is approximately the shape of a cone with a slant height of 20 ft. The angle formed by the tree with the ground measures 72º. Estimate the height of the tree. Round to the nearest foot.

Answer 1

We have a triangle, when:
hypotenuse=slant height=20 ft
opposite side=height of the tree=?
angle formed by the tree with the ground=72º


sin Ф=opposite/ hypotenuse    ⇒ opposite=(hypotenuse)(sin Ф)

In this case:
oppssite=20 ft /sin 72º=19.021...≈19

Answer: the heigth of the tree is 19 ft.

Answer 2

Answer:

Yes C.19 is the answer for anyone looking for an easier explanation

Hope it helps