A whale researcher is watching a whale approach directly toward a lighthouse as she observes from the top of this lighthouse. When she first begins watching the whale, the angle of depression to the whale is 15° 50'. Just as the whale turns away from the ligh use, the angle of depression is 35° 40'. If the height of the lighthouse is 68.7 meters, find the distance traveled by the whale as it approached the lighthouse. * 15° 50' |35° 40' 68.7 m

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A:

Q: Give a coterminal angle for -23".

A:

Q: A telegraph pole is supported by two guy wires which run from the top of the pole to the ground on…

A: Given:- A telegraph pole is supported by two guy wires which run from the top of the pole to the…

Q: 10 feet

A: Cosx=base/hypotenuse

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Q: An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the…

A: Given that An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50°…

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Q: Find the angle of elevation of a kite on a 50m string flying 40m vertically above the ground.…

A: angle of elevation of a kite on a 50m string flying 40m vertically above the ground

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

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Q: A man went off-roading in his Jeep. 40 miles after leaving the highway, he turned left, creating an…

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Q: 17. When the angle of elevation to the Sun is 69', a tower casts a shadow on the ground that is 64.3…

A: We use Trigonometry ratios

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Q: A man at the lighthouse sees a boat at an angle of 27°. If the tower (BC) is 50 feet, how far (AB)…

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Q: A person in a boat measures the angle of elevation to the top of a lighthouse at the top be 6.5°. He…

A: Let h be the height of the lighthouse    In triangle ABC tan60=BC/AB tan60=h2/5000 h2=5000*tan60…

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.