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A ladder is leaning against a building and makes a 32° angle with the ground the top of the ladder which is 20 feet up on the building what is the length of the ladder around the final answer to the nearest foot

A ladder is leaning against a building and makes a 32 angle with the ground the top of the ladder which is 20 feet up on the building what is the length of the class=

Respuesta :

Given

Angle = 32°

top of the ladder is 20 feet up on the building

Find

length of the ladder

Explanation

let length of ladder = h

here we use trigonometric ratio.

[tex]\sin C=\frac{opposite}{Hypotenuse}[/tex]

so ,

[tex]\begin{gathered} \sin32=\frac{20}{h} \\ \\ h=\frac{20}{\sin32} \\ \\ h=\frac{20}{0.52991926423b} \\ \\ h=37.74\approx38ft \end{gathered}[/tex]

Final Answer

Hence , the length of ladder in nearest foot is 38 ft

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