Trigonometry (20-2)

Question 1

Find the third angle of a triangle if two angles are 50° and 60°

Answer 1

70°

Question 2

In a right triangle, one acute angle is 35°. Find the other acute angle

Answer 2

55°

Question 3

Solve for x in triangle ABC: angle A = x, angle B = 40°, angle C = 100°

Answer 3

x = 40°

Question 4

Use sine law: In triangle ABC, a = 8 cm, angle A = 50°, angle B = 60°. Find b

Answer 4

b ≈ 9.8 cm

Question 5

Use cosine law: In triangle ABC, a = 7 cm, b = 5 cm, angle C = 60°. Find c

Answer 5

c ≈ 5.9 cm

Question 6

A right triangle has legs 3 cm and 4 cm. Find the hypotenuse

Answer 6

5 cm

Question 7

In a triangle, angles are in ratio 2:3:4. Find all angles

Answer 7

40°, 60°, 80°

Question 8

Find the height of a triangle with base 10 cm and area 50 cm²

Answer 8

10 cm

Question 9

Find sin 30°

Answer 9

0.5

Question 10

Find cos 60°

Answer 10

0.5

Question 11

Find tan 45°

Answer 11

1

Question 12

A ladder leans against a wall making a 60° angle with the ground. If the ladder is 10 m, find the height it reaches

Answer 12

8.66 m

Question 13

In a triangle, a = 9 cm, b = 12 cm, c = 15 cm. Determine if it is right-angled

Answer 13

Yes

Question 14

Find angle B using tan B = 3/4

Answer 14

B ≈ 36.87°

Question 15

A triangle has angles 45°, 45°, 90°. Find the ratio of the sides

Answer 15

1:1:√2

Question 16

Solve using sine law: a = 10 cm, A = 40°, B = 70°, find b

Answer 16

b ≈ 16.6 cm

Question 17

Find the area of a triangle using 1/2 * base * height, base = 8 cm, height = 6 cm

Answer 17

24 cm²

Question 18

In a triangle ABC, angle C = 90°, a = 6, b = 8. Find c

Answer 18

10