In ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet. Find the length of OP

Question

asked Jul 7, 2021 133k views

1 Answer

Richard K Yu · Answer 1 · 2021-07-11T19:25:27+0000

Answer: Length OP = 82.38 feet

Step-by-step explanation: Given that the ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet.

We can find the length of OP by using trigonometry ratio since it is a right angle

NO = hypothenus and

OP = opposite

Sin 83 = OP/NO

Sin83 = OP/83

OP = 83sin83

OP = 82.38 feet