100 ft path 40 horizontal 5°

Q: You are facing a building that is 150 feet higher than your transit, and you must elevate your…

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Q: The architect stands 6 feet from a climbing frame, looking up at the top of the frame at an angle of…

A: Given  architect stands 6 feet from climbing frame

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of…

A: A forest ranger looking a forest fire at 35 degree angle of depression.

Q: When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she…

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Q: Andy is standing directly across a river that runs parallel to the base of a cliff. from his spot,…

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Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

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Q: here the cabin elevation of 20

A: The angle of depression is given as, 26°. The height of cabin located from a small peak is, 2000 ft.…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.