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150 14 Solve for x. Round to the nearest tenth. 63.5 54.1 3.6 74.9

150 14 Solve for x. Round to the nearest tenth. 63.5 54.1 3.6 74.9-example-1
User Mensi
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1 Answer

4 votes
4 votes

The given triangle is a right angled triangle having the follwoing sides;

Hypotenuse = x (longest side)

Opposite = 14 (side facing the given acute angle)

Theta = 15 degrees

Using the SOH trigonometry identity;

sin 15 = opposite/hypotenuse

sin15 = 14/x

x = 14/sin15

x = 14/0.2588

x = 54.09

x is approximately equal to 54.1. Option B is coorect

User Souleiman
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