Trigonometry: right-angled triangles, elevation and depression

Question 1 of 10

From a point 8 m from the foot of a tree, the angle of elevation of the top is 50°. Find the height of the tree, to 1 decimal place.

Question 2 of 10

In a right-angled triangle, the hypotenuse is 30 cm and one angle is 50°. Find the side opposite this angle, to 1 decimal place.

Question 3 of 10

In a right-angled triangle, the hypotenuse is 20 cm and one angle is 35°. Find the side opposite this angle, to 1 decimal place.

Question 4 of 10

cos 60° equals

Question 5 of 10

tan 45° equals

Question 6 of 10

In a right-angled triangle, the side opposite θ is 5, the adjacent side is 12 and the hypotenuse is 13. Write tan θ as a fraction: ___

Question 7 of 10

tan 90° = 1.

Question 8 of 10

From the top of a 20 m cliff, the angle of depression of a boat is 45°. How far is the boat from the foot of the cliff, to 1 decimal place?

Question 9 of 10

In a right-angled triangle, sin θ equals

Question 10 of 10

From a point 40 m from the foot of a tree, the angle of elevation of the top is 35°. Find the height of the tree, to 1 decimal place.