5. A 29 feet ladder leans against a building so that the angle between the ground and the ladder is 75°. How high does the ladder reach up the side of the building? Round to 2 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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question 5

1. Find the value of the following expressions in radians and sketch the angle.
-1
a)
b) sec
sec
3
2. Find the exact value of sin(a-B) if sina = =
and cos B =
with a in QI and B in QII.
13
3.Find the exact value of
a. cos(67.5 ) sin(112.5
b. cos165
4.Prove identities
cos x sin' x+ cos'x
COS
a. (tan 0 +1) = sec0(sec0+2sin0)
cot x
sin x
b. cos x tan?x = sin²x
5. A 29 feet ladder leans against a building so that the angle between the ground and the ladder is 75. How
high does the ladder reach up the side of the building? Round to 2 decimal places.
6. Find cose given that sin(20)5/13 and 0<0 <
4
b.
Transcribed Image Text:1. Find the value of the following expressions in radians and sketch the angle. -1 a) b) sec sec 3 2. Find the exact value of sin(a-B) if sina = = and cos B = with a in QI and B in QII. 13 3.Find the exact value of a. cos(67.5 ) sin(112.5 b. cos165 4.Prove identities cos x sin' x+ cos'x COS a. (tan 0 +1) = sec0(sec0+2sin0) cot x sin x b. cos x tan?x = sin²x 5. A 29 feet ladder leans against a building so that the angle between the ground and the ladder is 75. How high does the ladder reach up the side of the building? Round to 2 decimal places. 6. Find cose given that sin(20)5/13 and 0<0 < 4 b.
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