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Find the value of x. Round your answer to the nearest tenth. Drawing is not to scale.

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Find the value of x. Round your answer to the nearest tenth. Drawing is not to scale. 
Right triangle with 30 degree angle. side opposite 30 degrees is x, side adjacent is 7.
A. 3.5
B. 12.1
C. 6.1
D. 4
 
Find the value of x. Round to the nearest tenth. Drawing not to scale. 
Right triangle with 28 degree angle.  The leg adjacent to this angle = 11.  The hypotenuse = x.
A. 12.5
B. 10
C. 13
D. 9.7
ind the value of x. Round to the nearest tenth. Drawing not to scale. 
Right triangle with 20 degree angle.  The leg opposite of this angle = x.  The hypotenuse = 18.
A. 52.6
B. 52.9
C. 6.2
D. 6.5

 

asked Sep 24, 2014 in TRIGONOMETRY by tonymate Pupil

3 Answers

0 votes
 
Best answer

1) Recall the basic trigonometric ratios

tan(θ) = Opposite side/adjacent side

tan(30o) = x/7

1/√3 = x/7

x = 7/√3

x = 7/1.732

x = 4.04

x = 4

Option D is correct.

answered Sep 24, 2014 by david Expert
selected Sep 25, 2014 by tonymate
0 votes

2)

cos(θ) = adjacent side/Hypotenuse

cos(28o) = 11/x

0.8829 = 11/x

x = 11/0.8829

x = 12.4589

x = 12.5

Option A is correct.

answered Sep 24, 2014 by david Expert
0 votes

3)

sin(θ) = Opposite side/Hypotenuse

sin(20o) = x/18

0.3420 = x/18

x = 0.3420(18)

x = 6.156

x = 6.2

Option C is correct.

answered Sep 24, 2014 by david Expert

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