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A pole is 20 feet high. A taut wire that is 46 feet extends fr

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A pole is $20$ feet high. A taut wire that is $46$ feet extends from the top of the pole to the ground. What is the angle of depression, to the nearest degree, from the top of the pole to the bottom of the wire?

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A pole is

20

feet high. A taut wire that is

46

feet extends from the top of the pole to the ground. What is the angle of depression, to the nearest degree, from the top of the pole to the bottom of the wire?

15 mins ago

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Text solutionVerified

The given setup will form a right angled triangle with hypotenuse length

46

feet and height of pole is

20

fee

Let the angle of depression be

α

∵ sin α = \frac{o pp os i t e}{h y p o t e n u se}

∴

Angle of depression

= α = sin^{- 1} (\frac{20}{46}) = 26°

Hence, the angle of depression is

2 6^{o}

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Question Text	A pole is $20$ feet high. A taut wire that is $46$ feet extends from the top of the pole to the ground. What is the angle of depression, to the nearest degree, from the top of the pole to the bottom of the wire?
Answer Type	Text solution:1
Upvotes	150

A pole is 20 feet high. A taut wire that is 46 feet extends from the top of the pole to the ground. What is the angle of depression, to the nearest degree, from the top of the pole to the bottom of the wire?

Text solutionVerified

Practice questions from similar books

A pole is $20$ feet high. A taut wire that is $46$ feet extends from the top of the pole to the ground. What is the angle of depression, to the nearest degree, from the top of the pole to the bottom of the wire?