Question

If angle K measures 110°, angle J equals 36°, and k is 70 feet, then find j using the Law of Sines. Round your answer to the nearest tenth.

Answer 1

43.8 feet

Explanation:

In a triangle with angle K = 110°, J = 36°, and k = 70 feet, you want the measure of side j using the law of sines.

Law of sines

The law of sines tells you side lengths in a triangle are proportional to the sine of the opposite angle. This means ...

j/sin(J) = k/sin(K)

j = k·sin(J)/sin(K) = (70 ft)·sin(36°)/sin(110°)

j ≈ 43.8 ft

The length of side j is about 43.8 feet.

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