Question

Х
x=
Solve for x and round answer to the nearest tenth.
15

Answer 1

`\huge\boxed{x\approx11.1}`

Explanation:

Use cosine:

`cosine=(adjacent)/(hypotenuse)`

We have:

`adjacent=x\\\\hypotenuse=15\\\\\theta=42^o`

Substitute:

`\cos42^o=(x)/(15)\\\\\cos42^o\approx.7431\\\\(x)/(15)=0.7431\qquad|\text{multiply both sides by 15}\\\\15\!\!\!\!\!\diagup\cdot(x)/(15\!\!\!\!\!\diagup)=15\cdot0.7431\\\\x=11.1465\\\\x\approx11.1`