1.0pposite corners of a rectangular garden are joined by a wire 72 m long and it forms an angle of 50° with the length. Find the dimensions of the garden. 2.A flagpole stands in the middle of a flat, level field. Fifty feet away from its base, a surveyor measures the angle to the top of the flagpole as 48°. How tall is the flagpole?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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2:47 G O O •
0 2.00 ..
AG 84%
1.0pposite corners of a rectangular garden
are joined by a
wire 72 m long and it forms an angle of 50°
with the
length. Find the dimensions of the garden.
2.A flagpole stands in the middle of a flat,
level
field. Fifty feet away from its base, a
surveyor
measures the angle to the top of the flagpole
as 48°. How tall is the flagpole?
3.A statue is put on the top of a 1.8 m
high stone platform. The angle of
elevation of the top of the statue
from point A on the ground is 28°. If
point A is 8 m away from the statue,
find the height of the statue.
4.A ladder 5.7m long rests against a vertical
wall at an angle of 34° with the vertical wall.
How far is the foot of the ladder from the
wall.
5.A piece of land triangular in shape
measures 140m on two sides wich intersect
at an angle of 80°. How long is the frontage
of the land in nearest meter?
6.Two men are on the opposite sides of a
pole. From their positions, they measure the
angles of elevation of the top of the pole as
25° and 20° respectively. What is the
distance between the two men if the height
of the pole is 22m?
7.john's house is 16 m from a television
tower from his window the figure that the
angle of depression to the base of the tower
is 24° and the angle of elevation to the top of
the tower is 42° find the height of the tower.
8.from a height 42 m above sea level two
ships are sighted due east. the angles of
depression are 52° and 27° how far about
our the ship?
9.a jose rizal statue stands on a 2.8 m
hypogeum at a point 10 m away from the
base of the podium the angle of elevation to
the top of the statue is 43°. How high is the
statue?
10.a ray of sunlight cause a shadow of a
flagpole on the ground at in angle of
depression of 58° if the length of the
shadow is 3 m shorter than the height of the
flagpole find the height of the flagpole
Transcribed Image Text:2:47 G O O • 0 2.00 .. AG 84% 1.0pposite corners of a rectangular garden are joined by a wire 72 m long and it forms an angle of 50° with the length. Find the dimensions of the garden. 2.A flagpole stands in the middle of a flat, level field. Fifty feet away from its base, a surveyor measures the angle to the top of the flagpole as 48°. How tall is the flagpole? 3.A statue is put on the top of a 1.8 m high stone platform. The angle of elevation of the top of the statue from point A on the ground is 28°. If point A is 8 m away from the statue, find the height of the statue. 4.A ladder 5.7m long rests against a vertical wall at an angle of 34° with the vertical wall. How far is the foot of the ladder from the wall. 5.A piece of land triangular in shape measures 140m on two sides wich intersect at an angle of 80°. How long is the frontage of the land in nearest meter? 6.Two men are on the opposite sides of a pole. From their positions, they measure the angles of elevation of the top of the pole as 25° and 20° respectively. What is the distance between the two men if the height of the pole is 22m? 7.john's house is 16 m from a television tower from his window the figure that the angle of depression to the base of the tower is 24° and the angle of elevation to the top of the tower is 42° find the height of the tower. 8.from a height 42 m above sea level two ships are sighted due east. the angles of depression are 52° and 27° how far about our the ship? 9.a jose rizal statue stands on a 2.8 m hypogeum at a point 10 m away from the base of the podium the angle of elevation to the top of the statue is 43°. How high is the statue? 10.a ray of sunlight cause a shadow of a flagpole on the ground at in angle of depression of 58° if the length of the shadow is 3 m shorter than the height of the flagpole find the height of the flagpole
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