A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground. He moves 30m nearer to the flat and measures the angle of elevation as 43°. Calculate the height of the spire to the nearest hundredth.

Q: The bottom of a 50-foot movie screen is 20 feet above eye level. Find the viewing angle θ from a…

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Q: Give the exact value of the following: 3 4 cos (-²) = [

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Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

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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: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: There is an escalator that is 1083.6 feet long and drops a vertical distance of 196.1 feet. What is…

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Q: From a point on level ground 30 yards from the base of a building, the angle of elevation is 38.7°.…

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Q: To estimate the height of a building, a student stood a certain distance from a building and…

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Q: A boat was docked 30.0 m from the base of a cliff. A sailor used a clinometer to sight the top of…

A:

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.