Question

In ΔNOP, the measure of ∠P=90°, the measure of ∠O=37°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.

Answer 1

119.6

Explanation:

Remark

Draw a rough sketch of what is given.

You will find the NP is the side opposite of the triangle.

P is the right angle

OP is the hypotenuse.

Given

NP = 72

<O = 37

Equation

Sin(O) = NP/OP

Sin(72) = .6018

0.6018 = 72/OP Multiply both sides by OP

0.6018*OP = 72 Divide both sides by 0.6018

OP = 72/0.6018

OP = 119.6