5. A 5.0 m tree is leaning 5° from the vertical. To prevent it from leasing any farther, a stake needs to be fastened 2 m from the top of the tree at an angle of 60° with the ground. How far from the base of the tree, to the nearest metre, must the stake be?
5. A 5.0 m tree is leaning 5° from the vertical. To prevent it from leasing any farther, a stake needs to be fastened 2 m from the top of the tree at an angle of 60° with the ground. How far from the base of the tree, to the nearest metre, must the stake be?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:5. A 5.0 m tree is leaning 5° from the vertical. To prevent it from leaning
any farther, a stake needs to be fastened 2 m from the top of the tree at
an angle of 60° with the ground. How far from the base of the tree,
to the nearest metre, must the stake be?
6. A tree is growing vertically on a hillside that is inclined at an angle of
15° to the horizontal. The tree casts a shadow uphill that extends 7 m
from the base of its trunk when the angle of elevation of the Sun is 57°.
How tall is the tree to the nearest metre?
7. Charmaine has planned a nature walk in the forest to visit four
stations: A, B, C, and D. Use the sketch shown at the left to calculate
the total length, to the nearest metre, of the nature trail, from A to B,
B to C, C to D, and D back to A.
8. A weather balloon at a height of 117 m has an angle of elevation of
41° from one station and 62° from another. If the balloon is directly
above the line joining the stations, how far apart, to the nearest metres
are the two stations?
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