Solve the following problems completely. Sketch the figure A tree broken down by strong winds makes a right triangle with the ground. Its topmost part makes an angle of 55º with the ground at point 25 ft from its foot. How high was the tree before it was hit by the wind?

Q: 4. John is in a rescue helicopter that is 100 m. above the water. Below he can see a swimmer in…

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Q: 8. Jocelyn works in a lighthouse that is 90 m above sea level. She sees a boat at a bearing of 125°…

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Q: An airplane is heading N35°E at a speed of 460 mph.  A 75 mph wind blows from the southwest at an…

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Q: Arnold is looking at the building from 300 feet away at an angle of elevation of 22°. When asked,…

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Q: Two airplanes leave an airport at the same time on different runways. The first plane, flying on a…

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Q: 2. A boy starts his morning walk at point A reaches two points B and C and finally back to A such…

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Q: Sargent Johnson wants to find the height of the school flag above the football field. His eye height…

A: we have to find out the height of the flag

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Q: below is a diagram that shows how Colleen estimates the height of a tree that is on the other side…

A: In this question, the concept of trigonometric identities is applied. Trigonometric Identity The…

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.