Worksheets · Foundation and Higher

Right-triangle trigonometry in two dimensions

3 exam-style questions. Answers and the mark for each step are on the last page.

1. Question 1Calculator · 2 marks

   (a) A straight ramp is 4.8 m long and makes an angle of $11^\circ$ with level ground. Work out the vertical rise of the ramp. Give your answer to 2 decimal places. (2)
2. Question 2Calculator · 4 marks

   From a point 9 m from a vertical tower on level ground, the angle of elevation of the top is $35^\circ$.

   (a) Calculate the height of the tower, to 2 decimal places. (2)

   (b) The observer walks to twice the original distance. Calculate the new angle of elevation to 1 decimal place. (2)
3. Question 3Calculator · 3 marks

   (a) A vertical mast stands on horizontal ground at B. Points P and Q lie on a straight line with B, with P between B and Q. PQ = 35 m. The angles of elevation of the top of the mast from P and Q are $47^\circ$ and $29^\circ$, respectively. Work out the height of the mast. Give your answer to 1 decimal place. You must show your working. (3)