Question

Solve for x. Round your answer to the nearest tenth.

Answer 1

x = 15 (to the nearest whole number)

Explanation:

From inspection of the diagram, it appears that the hypotenuse of the right triangle is the side with measure 16.

We need to use the cos trig ratio since we have an angle (24°), the side adjacent to the angle (x) and the hypotenuse (16).

`\implies cos(\theta)=(A)/(H)`

`\implies cos(24)=(x)/(16)`

`\implies x=16cos(24)`

`\implies x=14.61672732...`

`\implies x=15`