Question

Find the value of x to the nearest tenth.

Answer 1

Answer:

x = 14.57

explanation:

• adjacent : x

• hypotenuse : 17

• angle : 31°

$\sf cos(x)= \dfrac{adjacent}{hypotensue}$

$\hookrightarrow \sf cos(31)= \dfrac{x}{17}$

$\hookrightarrow \sf 17*cos(31)= x$

$\hookrightarrow \sf x = 14.57$

Answer 2

Answer:

x = 14.6 (nearest tenth)

Step-by-step explanation:

Use the cosine trig ratio:

$\mathsf{\cos(\theta)=\dfrac{A}{H}}$

where:

• $\theta$ is the angle
• A is the side adjacent the angle
• H is the hypotenuse

Given:

• $\theta$ = 31°
• A = x
• H = 17

$\implies \mathsf{\cos(31)=\dfrac{x}{17}}$

$\implies \mathsf{x=17\cos(31)}$

$\implies \mathsf{x=14.6 \ (nearest \ tenth)}$