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lesantik [10]
3 years ago
10

Explain why you can use πr2 to find the area of the base of a cone

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0
The base of a cone is a circle.

The area of a circle is \pi r^2.

Thus, the area of the base of a cone \pi r^2.

The derivation of the formula for the area of a circle involves a bit of calculus, but if you'd like, I can walk you through it.
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From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab
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Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

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