Question

PeriodFor questions 1-8, solve for x. Round to the nearest tenth (one decimal place). You must show thesetup equation and the calculator-ready equation to receive full credit.1.2.32023

Answer 1

The given triangle is a right-angled triangle.

By observing the given diagram, we get opposite side =23 and

adjacent side =x according to the measure of angle =32 degrees.

We know that

`\tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}}`
`\text{ Substitute opposite side =23 , adjacent side=x and }\theta=32^o\text{ as follows.}`
`\tan 32^o=(23)/(x)`

`U\text{se tan32}^o=0.6`

`0.6=(23)/(x)`
`x=(23)/(0.6)`
`x=38.3`

Hence the value of x is 38.3.