Question

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finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​​

Answer 1

let angle be x

Explanation:

1. relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

Answer 2

#1

• 30° as opposite side is half of the hypotenuse

#2

• 7/16 = tan x
• x = arctan (7/16) = 24°

#3

• 31/50 = tan x
• x = arctan (31/50) = 32°

#4

• 5/7 = cos x
• x = arccos (5/7) = 44°

#5

• 4/14 = sin x
• x = arcsin (4/14) = 17°

#6

• 6/7 = cos x
• x = arccos (6/7) = 31°

#7

• 29/37 = tan x
• x = arctan (29/37) = 38°

#8

• 43/60 = sin x
• x = arcsin (43/60) = 46°

#9

• 32/44 = cos x
• x = arccos (32/44) = 43°