21) Stationed on the top of a 120-foot lookout tower, a teenage soldier observes a tank approaching her post. If the angle of depression to the tank changes from 15° to 28° during the period of observation, how far does the tank travel?

21) Stationed on the top of a 120-foot lookout tower, a teenage soldier observes a tank approaching her post. If the angle of depression to the tank changes from 15° to 28° during the period of observation, how far does the tank travel?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.5: Special Right Triangles

Problem 25E: A jogger runs along two sides of an open rectangular lot. If the first side of the lot is 200 ft...

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Question

Q21

18)
The angle of elevation from the top of a 10-story BUnumg to uic tup
skyscraper across the street is 50°, while the angle of depression to the bottonm is
30°. If the smaller building is 100 feet high, find the height of the skyscraper.
19)
From a balcony of a skyscraper hotel 200-feet above ground, a woman observes
a bicyclist moving toward her. If the angle of depression of the bicyclist changes from
22° to 46° during the period of observation, how far does the bicyclist travel?
20)
on the other side is 20°, while the angle of depression to ground level is 45°. If the
lower deck is 50 feet high, find the height of the upper deck. Please round your
answer to the nearest foot.
The angle of elevation from a stadium's lower deck to the top of its upper deck
21)
Stationed on the top of a 120-foot lookout tower, a teenage soldier observes a
tank approaching her post. If the angle of depression to the tank changes from 15° to
28° during the period of observation, how far does the tank travel?
22)
A civic engineer detects that the angle of elevation to the top of a freeway
overpass is 41°30'. After moving back on a straight line away from the building, 265
feet from the spot of the first measurement, she observes the angle of elevation to be
28°10'. Approximately how high off the ground is the freeway overpass?
23)
and 29 cm.
Find the measure of the largest angle in a triangle with sides 20 cm, 21 cm,
24)
tree in EDH to an observer standing 400 feet away from it given that the fake tree is
225 feet tall?
To the nearest minute, what is the angle of depression from the top of the fake
Two ships leave a port at the same time. The first ship sails on a bearing of
25)
250° at 22 knots and the second on a bearing of 160° at 16 knots. How far apart
are they after 2.5 hours and what angle is formed by the segments that join the first
ship to both the port and to the second ship? Please round each answer to the
nearest tenth.
45

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