Core Mathematics

1The angle of elevation is measured

2tan 45° equals

3From a point 10 m from the foot of a tree, the angle of elevation of the top is 65°. Find the height of the tree, to 1 decimal place.

4cos 60° equals

5sin θ = cos(90° − θ).

6In a right-angled triangle, the side opposite θ is 7, the adjacent side is 24 and the hypotenuse is 25. Write sin θ as a fraction: ___

7From the top of a 25 m cliff, the angle of depression of a boat is 60°. How far is the boat from the foot of the cliff, to 1 decimal place?

8In a right-angled triangle, the side opposite θ is 7, the adjacent side is 24 and the hypotenuse is 25. Write tan θ as a fraction: ___

9The angle of depression is measured from the vertical.

10In a right-angled triangle, tan θ equals