Trigonometric Ratios of acute angles - problem solving.

A ladder leans against a wall as shown in the diagram.

How far is the top of the ladder from the ground?

(Write your answer to 3 s.f and leave out the unit)

A ladder leans against a wall as shown in the diagram.

How far is the bottom of the ladder from the wall?

(Write your answer to 3 s.f and leave out the unit)

The diagram shows a slide in a playpark.

Find the height of the top of the slide.

(Give your answer to 3 s. f and leave out the unit)

The diagram shows a slide in a playpark.

Find the length of the slide.

(Give your answer to 3 s. f and leave out the unit)

A wire 18 metres long runs from the top of a

pole to the ground, as shown in the diagram.

The wire makes an angle of 35° with the

ground.

Calculate the height of the pole.

(Give your answer to 3 s. f and leave out the unit)

ABC is a right-angled triangle. AB is of

length 4 metres and BC is of length

13 metres.

Calculate the length of AC.

(Give your answer to 3 s. f and leave out the unit)

A ladder leans against a wall. The length of

the ladder is 4 metres and the base is 2 metres

from the wall. Find the angle between the

ladder and the ground.

(Give your answer to 1 d.p and leave out the unit)

ABC is a right-angled triangle. AB is of

length 4 metres and BC is of length

13 metres.

Calculate the size of angle ABC.

(Give your answer to 1 d.p and leave out the unit)

As cars drive up a ramp at a multi-storey car

park, they go up 2 metres. The length of the

ramp is 10 metres. Find the angle between

the ramp and the horizontal.

(Give your answer to 1 d.p and leave out the unit)

Calculate the length of the dotted line and

the area of the triangle shown;

length of the dotted line = ​ (a)   cm

Area = ​ (b)   cm²

• 3.83
• 23.0
• 22.9
• 19.3
• 5.96
• 35.8