Trigonometry

Question 1 of 10

The angle of depression of a boat from a cliff 50 m high is 30°. How far is the boat from the foot of the cliff? (tan 30° ≈ 0.577)

Question 2 of 10

A ladder 10 m long leans against a wall making 60° with the ground. How high up the wall does it reach? (sin 60° ≈ 0.866)

Question 3 of 10

From the top of a 30 m tower, the angles of depression of two cars in line due east are 30° and 60°. Find the distance between the cars. (√3 ≈ 1.732)

Question 4 of 10

If tan θ = 3/4 and θ is acute, find sin θ.

Question 5 of 10

In a right-angled triangle, the opposite side is 6 and adjacent side is 8. Find tan θ.

Question 6 of 10

If sin x = 0.5 and x is acute, find x.

Question 7 of 10

Find cos 120°.

Question 8 of 10

The bearing of B from A is 060°. The bearing of A from B is

Question 9 of 10

Find the area of triangle PQR with PQ = 10 cm, QR = 12 cm and ∠PQR = 150°.

Question 10 of 10

A kite string 50 m long makes 30° with the ground. How high is the kite?