Question

In AKLM, the measure of_ZM=90°, the measure of ZK=25°, and MK = 15 feet. Find the length of KL to the nearest tenth of a foot.

Answer 1

KL ≈ 16.6

Explanation:

Given that;

m<K = 25 degrees

MK = Adjacent side to m<K = 15

KL = hypotenuse

Using the SOH CAH TOA identity

cos theta = adj/hyp

cos 25 = 15/KL

KL = 15/cos25

KL = 15/0.9063

KL = 16.55

KL ≈ 16.6 feet to the nearest tenth of a foot