Question

Find x in the triangle below. Round your answer to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

Remark

• x is opposite the 90 degree angle. It is the hypotenuse.
• 13 makes up the 57 degree angle. It is the side adjacent.
• The adjacent side and the hypotenuse define the cos(theta).

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

• Cos(57) = 13 / x         Multiply both sides by x
• x*cos(57) = 13           Divide by cos(theta)
• x = 13/cos(57)
• x = 13 / cos(57)
• cos(57) = 0.5446
• x = 13/ 0.5446
• x = 23.87