A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building.
Approximately how long is the ramp? Round to the nearest tenth.
10.3 feet
10.4 feet
13.2 feet
38.6 feet
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11
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Given :
The angle made by ramp with the ground = 15°
The distance of ramp end from base of building = x = 10 feet
To Find :
The measure of length of ramp
Solution :
Let the measure of length of ramp = y feet
From figure
Cos angle =
Or, Cos 15° =
Or, 0.9659 =
∴ y =
i.e y = 10.35 feet
Or, Length = y = 10.35 feet
Hence, The measure of length of ramp is 10.35 feet Answer
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