elevation of the sun slope of the hill A flagpole is on a slope that rises 10° from the horizontal. The pole casts a 24-foot shadow down the slope and the angle of elevation of the sun measured from the slope is 39°. How tall is the pole? Round your answer to the nearest foot. Your Answer: Answer units

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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elevation of
the sun
slope of
the hill
A flagpole is on a slope that rises 10° from the horizontal. The pole casts a 24-foot
shadow down the slope and the angle of elevation of the sun measured from the
slope is 39°. How tall is the pole? Round your answer to the nearest foot.
Your Answer:
Answer
units
Transcribed Image Text:elevation of the sun slope of the hill A flagpole is on a slope that rises 10° from the horizontal. The pole casts a 24-foot shadow down the slope and the angle of elevation of the sun measured from the slope is 39°. How tall is the pole? Round your answer to the nearest foot. Your Answer: Answer units
There are three basic things you need to know to solve a triangle.
1st. The sum of all the angles of a triangle equals 180° or n
2nd. The law of sines is useful when we have at least two angles of a triangle. Build a
proportion that includes three known and one unknown quantity (sometimes it must
be done is steps, or repeated twice)
sin(A)
sin(B)
sin(C)
a
des, or
3rd. The law of cosines is useful when we have an angle of a triangle and two
all sides only and no angle.
a = 62 + c - 2bc cos(A)
a? + c2
2ac cos(B)
%3D
-
vwwン)
As shown in the figure below, angle A is opposite side a, angle Bis opposite side b, and
angle Cis opposite side c.
Transcribed Image Text:There are three basic things you need to know to solve a triangle. 1st. The sum of all the angles of a triangle equals 180° or n 2nd. The law of sines is useful when we have at least two angles of a triangle. Build a proportion that includes three known and one unknown quantity (sometimes it must be done is steps, or repeated twice) sin(A) sin(B) sin(C) a des, or 3rd. The law of cosines is useful when we have an angle of a triangle and two all sides only and no angle. a = 62 + c - 2bc cos(A) a? + c2 2ac cos(B) %3D - vwwン) As shown in the figure below, angle A is opposite side a, angle Bis opposite side b, and angle Cis opposite side c.
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