Question

In triangle KLM, the measure of angle M is 90 degrees, the measure of angle K is 75 degrees, and LM is equal to 6.3 feet. Find the length of KL to the nearest tenth of a foot.

Answer 1

6.5feet

Explanation:

Using the SOH CAH TOA identity

<K = 75 degrees

opposite = LM = 6.3 feet

Hypotenuse = KL

sin theta = opp/hyp

sin 75 = 6.3/x

x = 6.3/sin75

x = 6.3/0.9659

x = 6.5feet

Hence the length of KL to the nearest tenth of a foot is 6.5feet