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