Question

In ΔNOP, the measure of ∠P=90°, PO = 77, NP = 36, and ON = 85. What ratio represents the cosine of ∠N?

Answer 1

Answer:

36:85

Step-by-step explanation:

Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.

According to CAH

Cos∠N = Adjacent/Hypotenuse

Hypotenuse is the longest of the triangle |ON| = 85

Since the opposite side to ∠N is 77, the third side will be the Adjacent side.

Adjacent side will be |NP| = 36

Therefore:

Cos∠N = 36/85

The ratio that represents the cosine of ∠N is 36:85