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Alexandra needs to reshingle her roof. She leans a ladder against the the wall of the house so that the top of the ladder is 8 feet above the ground. The bottom of the ladder is 5 feet from the base of the wall. Find the angle formed between the ladder and the house. Round the answer to the nearest whole degree. A. B. C. D. Please select the best answer from the choices provided A B C D

Sagot :

If the top is 8 feet above the ground and ladder is 5 feet away from bottom of wall then the angle between ladder and house is 58°.

Given top is 8 feet above the ground, ladder is 5 feet away from bottom of the wall.

Trigonometric ratios are the ratios of the sides of a right angled triangle. sin is the ratio of perpendicular and hypotenuse , cos is the ratio of base and hypotenuse, tan is the ratio of perpendicular and base, cosec is the ratio of hypotenuse and perpendicular, sec is the ratio of hypotenuse and base, cot is the ratio of base and perpendicular.

Here we use tan d where d is the angle between ladder and wall of the house.

tan d= P/B

tan d=8/5

tan d=1.6

[tex]d=tan^{-1} 1.6[/tex]

d=57.99

After rounding off it will be 58°.

Hence the angle between ladder and house is 58°.

Learn more about trigonometric ratios at https://brainly.com/question/24349828

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