Solve the problem.John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He first measures the angle of elevation from where he is standing as 35°. He walks 30 feet closer to the tree and finds that the angle of elevation has increased by 12°. Estimate the height of the tree rounded to the nearest whole number.
A. 61 ft
B. 90 ft
C. 86 ft
D. 67 ft
Answer: D
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Find the extreme values of the function subject to the given constraint.
A. Maximum: 11 at (6, 3, 2), (6, 2, 3), (3, 2, 6), (3, 6, 2), (2, 3, 6), (2, 6, 3); minimum: 1 at
B. Maximum: 6 at minimum: -3 at
C. Maximum: 6 at minimum: 3 at
D. Maximum: 9 at minimum: 3 at
Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 2tan , x = 0, y = -
A. 6? - ?2
B. 12 - 3?
C. 3? + 3?2
D. 12? - 3?2
Add or subtract. Simplify your answer to lowest terms. +
-
A.
B.
C.
D.
Solve the problem.Let f(x) compute the time in hours to travel x miles at 46 miles per hour. What is the interpretation of
A. The hours taken to travel 46 miles B. The miles traveled in 7 hours C. The miles traveled in 46 hours D. The hours taken to travel 7 miles