Question

A guide wire for a palm tree makes a 32°angle with the ground and is staked 6 feet from the base of the tree. What is the length, to the nearest tenth of a foot, of the guide wire from the ground to the palm tree? A. 7.1, B. 8.5, C. 9.6, D. 11.3

Answer 1

b) 8.5 feet

Explanation:

Answer 2

Answer is 9.6

Explanation:

From the illustration above. See attachment for interpretation of this illustration.

To find the part label a in the attachment which is the length of the foot of the guide wire from the ground to the palm tree, we apply the sine rule, which says

a/sineA = b/sineB

In this case

a = ? , A = 58° , b = 6ft, B = 32°

So

a/sine58 = 6/sine32

a/0.848 = 6/0.5299

a = 6*0.848/0.5299

a = 5.088/0.5299

a = 9.601 ~ 9.6