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35 votes
35 votes
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 Matteo NNZ
by
2.3k points

1 Answer

13 votes
13 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 Damien Locque
by
3.0k points
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