Distance A hot-air balloon is held at a constant altitude by two ropes that areanchored to the ground. One rope is 120 feet long and makes an angle of 65 degree  with theground. The other rope is 115 feet long. What is the distance between the points onthe ground at which the two ropes are anchored?

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A: In △ABC, tan 65∘=hxh=x tan 65∘     (1) In △ABD, tan 54∘=h25+xh=tan 54∘25+x       (2)

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Q: Radio Antenna A short-wave radio antenna is supported bytwo guy wires, 165 ft and 180 ft long. Each…

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Q: 200 ft 390 70 ft

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Q: Distance to Mt. Fuji The peak of Mt. Fuji in Japan is ap- proximately 12,400 feet high. A…

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Q: A plane is flying at an elevation of 25000 feet. It is within sight of the airport and the pilot…

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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.