Trigonometry: Finding Angles
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• Introduction
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This worksheet is about calculating angles using trigonometry in right-angled triangles.

 Remember: sin x = opp , cos x = adj , tan x = opp hyp hyp adj

Examples : Find the angle, x, in degrees:

You know
hypotenuse = 5.8;
opposite side = 5;
 sin x = 5 5.8
 x = sin-1 5 5.8
x = shift sin (5 ÷ 5.8)
= 59.5 (1 d.p.)
You know
hypotenuse = 6.3;
adjacent side = 2;
 cos x = 2 6.3
 x = cos-1 2 6.3
x = shift cos (2 ÷ 6.3)
71.5 (1 d.p.)
You know
opposite side = 3;
adjacent side = 4;
 tan x = 3 4
 x = tan-1 3 4
x = shift tan (3 ÷ 4)
36.9 (1 d.p.)
• Question 1
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Find the angle marked x, in degrees, to 1 decimal place.

(Just write the number of degrees)

x =
• Question 2
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 3
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 4
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 5
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 6
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 7
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 8
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 9
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Find the angle marked x, in degrees, to 1 decimal place.

x =
• Question 10
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Find the angle marked x, in degrees, to 1 decimal place.

x =
Progress