Max is holding the string of a kite which is flying 30 metres above the ground.

His height is 1,5 metres.

Given the diagram below, calculate how tall the lighthouse is?

Note: Write down only the value without the units. Round your answer two decimal places.

The area of the rectangle is 

Work out the size of angle .

Given the following diagram of a ladder leaning against a wall, work out the angle that the ladder makes with the ground?

Note: Write down only the value without the units. Round off to the whole number.

For a right-angled triangle, match the following trigonometric ratios to their reciprocals.

 is the base of a ramp laid on level ground. The ramp is 230 cm long and 20 cm high, as shown in the diagram. Work out the size of angle 

The point  is 50 metres from the base of a tower.

The angle of elevation of the top of the tower from  is 74°.

Calculate the height of the tower. Give your answer to three significant figures.

In the diagram below, , the size of a is . What is the reason that this is true?

A person stands at Point A. They look up at a bird sitting on the top of a tree (at Point B).

The height of the tree is 9 m, the line-of-sight distance from Point A to the top of the tree (Point B) is 10,39 m and the angle of inclination (from the horizontal) to the top of the tree is .