Respuesta :

Given:

Find-:

The value of "a."

Explanation-:

Use the trigonometric property is:

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

The value of "a" is:

[tex]\begin{gathered} \tan\theta=\frac{\text{ Perpendicular}}{\text{ Base}} \\ \\ \tan\theta=\frac{a}{b} \\ \\ \tan29=\frac{a}{240} \end{gathered}[/tex]

"a" is:

[tex]\begin{gathered} \tan29=\frac{a}{240} \\ \\ a=240\times\tan29 \\ \\ a=240\times0.554 \\ \\ a=133.034 \end{gathered}[/tex]

The value of "a" is 133.034 cm

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