Question

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=25°, and KL = 3.6 feet. Find the length of MK to the nearest tenth of a foot.

Answer 1

3.3feet

Explanation:

Using the concept of SOH CAH TOA to solve the problem.

Note that MK is the adjacent side of the right angled triangle, KL will be the hypotenuse, and ∠K=25° is the angle opposite to ML, ML is the opposite side.

Using CAH trigonometry identity

Sin(theta) = adjacent/hypotenuse

Cos25° = MK/KL

Cos25° = MK/3.6ft

MK = 3.6×cos25°

MK = 3.26feet

MK = 3.3feet {to nearest tenth of a foot}