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In triangle MNO the measure of angle O =90 degrees the measure of angle M =66 degrees and NO = 60 feet Find the length of MN to the nearest tenth of a foot

In triangle MNO the measure of angle O 90 degrees the measure of angle M 66 degrees and NO 60 feet Find the length of MN to the nearest tenth of a foot class=

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Answer:

Length of MN = 65.68 feet (Approx.)

Step-by-step explanation:

Given:

Height of NO = 60 feet

Angle ∠M = 66°

Find:

The length of MN

Computation:

Given triangle is a right angled triangle

So,

NO is a perpendicular

MN is hypotenuse

Using trigonometry functions

Sin θ = Perpendicular / Hypotenuse

Sin 66 = NO / MN

0.9135 = 60 / Length of MN

Length of MN = 60 / 0.9135

Length of MN = 65.68 feet (Approx.)

Answer: approximately 65.6782 = 65.7

Step-by-step explanation:

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