Question

Find the measure of side a. A = _ cm

Answer 1

Given:

Find-:

The value of "a."

Explanation-:

Use the trigonometric property is:

`\tan\theta=\frac{\text{ Perpendicular}}{\text{ Base}}`
`\begin{gathered} \text{ Angle }(\theta)=29^(\circ) \\ \\ \text{ Base }(b)=240\text{ cm} \\ \\ \text{ Perpendicular }(a)=a \end{gathered}`

The value of "a" is:

`\begin{gathered} \tan\theta=\frac{\text{ Perpendicular}}{\text{ Base}} \\ \\ \tan\theta=(a)/(b) \\ \\ \tan29=(a)/(240) \end{gathered}`

"a" is:

`\begin{gathered} \tan29=(a)/(240) \\ \\ a=240*\tan29 \\ \\ a=240*0.554 \\ \\ a=133.034 \end{gathered}`

The value of "a" is 133.034 cm