Trigonometry and Bearings Worksheet (Partial)

What is the three-figure bearing of South-East?

• 045°

• 090°

• 135°

• 225°

A ship sails from point A on a bearing of 060° for 12 km. It then changes course and sails due East for 5 km to point B. What is the bearing of B from A (nearest degree)?

• 045°

• 065°

• 072°

• 082°

Sine Rule: In a triangle, A=45°, a=10, B=60°. Find b (2 decimal places).

• b=13.66

• b=11.22

• b=15.00

• b=9.80

Cosine Rule: A triangle has sides b=7, c=9, and angle A=120°. Find side a.

• 13.2

• 14.5

• 15.0

• 16.2

Cosine Rule: A triangle has sides a=8, b=6, c=10. Find angle C (nearest degree).

• 82°

• 60°

• 45°

• 98°

Area of a triangle with sides a=8, b=10, and included angle C=60°.

• 20√3

• 40√3

• 80√3

• 60√3

Area of a Triangle using Trigonometry: A triangle has sides b=12, c=15, and included angle A=45°. Find the area (nearest whole number).

• 64 cm²

• 72 cm²

• 90 cm²

• 56 cm²

A vertical mast is 10 m high. A cable is attached from the top to the ground at a point 6 m from the base. What angle does the cable make with the ground?

• 30°

• 45°

• 50°

• 60°

A ladder 5 m long leans against a wall, making an angle of 70° with the ground. How high up the wall does it reach?

• 4.70 m

• 3.20 m

• 2.50 m

• 1.80 m

A cuboid has length 12 m, width 5 m, and height 9 m. A cable is stretched from the top back corner of the cuboid to the opposite front bottom corner. What angle does the cable make with the base of the cuboid (nearest degree)?

• 25°

• 30°

• 35°

• 40°