Given 15 cot A = 8, find sin A and sec A.
1 answer:
Answer:
sin A = 15/17
sec A = 17/8
Step-by-step explanation:
15 cot A = 8
First get cot A alone.
cot A = 8 / 15
Since cot is the reciprocal of tan then flip 15 and 8.
tan A = 15 / 8
Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem
15^2 + 8^2 = 289
= 17
Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.
sin A = 15/17
cos A = 8/17
sec A = 17/8
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Answer:
The height of the new cones will be 16.5 inches.
Step-by-step explanation:
We know that,
The volume of a cone is,
Where, r is the radius of the cone,
h is the height of the cone,
In the original cone,
r = 22 inches,
h = 66 inches,
Thus, the volume would be,
Also, for the new cone,
r = 44 inches,
Let H be the height,
So, the volume of the new cone would be,
According to the question,
Hence, the height of the new cones will be 16.5 inches.