The radius of the base of the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations gives the measure, θ of the angle formed by a slant height of the cone and a radius?
tanθ=57
tanθ=75
sinθ=57
sinθ=75
A
tanθ=75
B
sinθ=75
C
tanθ=57
D
sinθ=57
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Solution
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In right angled triangle
tanθ=oppositesideadjacentside
Opposite side=7 inches
Adjacent side=5 inches
∴tanθ=75
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