Question

Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.

Answer 1

Problem 9
By definition,
$tan 22^{o} = \frac{203}{x} \\ 0.404 = \frac{203}{x} \\ x = \frac{203}{0.404}= 502.44$

Answer: 502.4 m

Problem 10
From geometry, the angle opposite x is 27°.
By definition,
$sin 27^{o} = \frac{x}{580} \\ 0.454 = \frac{x}{580} \\ x=(580)(0.454)=263.32$

Answer: 263.3 yd