Problem solving involving trigonometry ratio

Master trigonometry word problems! Practice calculating lengths, distances, and heights with angles.

A foldable ladder which is placed on the floor forms an isosceles triangle PQR as show in the diagram on the right. Given that T is the midpoint of PR, PQR = 38˚ and PR = 1.4 m, calculate the length of PQ, correct to two decimal places. Show your working. You have maximum of 8 lines. The diagram shows Aisyah who is looking at a lamp post. Given that the angle of elevation at the tip of the lamp post from Aisyah’s eyes is 55˚ and the distance between Aisyah’s eyes and the tip of the lamp post is 145 metres, calculate the horizontal distance d in metres. State the answer correct to three significant figures. Show your working. You have maximum of 8 lines. The diagram shows the position of a ship and a lighthouse. Given that the angle of depression of the ship from the lighthouse is 41˚ and the horizontal distance between the lighthouse and the ship is 200 m, calculate the height of the lighthouse, h in metres. State the answer correct to four significant figures. Show your working. You have maximum of 8 lines.