Bill needs to find the area of the ground covered by a conical tent. the tent is 12 feet tall and makes a 70° angle with the ground. which expression can be used to find the area?

a) π · (12 · tan 70°)2

b) 36 · π

c) π · (12tan 70°12tan 70°)2

d) π · (tan 70°12tan 70°12)2

we know that

the area of the ground covered by the tent is a circular area

then

the area of a circle is equal to

Step

Find the radius of the circular base

we know that

in the right triangle ABC-----> see the attached figure to better understand the problem

Solve for r

Step

Find the area of the base

substitute the value of the radius in the formula of area

therefore

the answer is the option a

the area of the ground covered by a conical tent is equal to

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