TaliannaK707236 TaliannaK707236
  • 25-10-2022
  • Mathematics
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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 635 541 36 749 class=

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JoaopedroR371505 JoaopedroR371505
  • 25-10-2022

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

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