CAIE IGCSE Mathematics Extended E6.2.4 Carry Out Calculations Involving Angles of Elevation and Depression Questions

Practise modelling elevation and depression angles with right triangles, using bearings when needed and giving answers in degrees to one decimal place.

Exam points

Identify the correct angle of elevation or depression relative to the observer’s horizontal line.
Form the vertical change and horizontal distance needed for the right-triangle model.
Use inverse tangent to calculate the elevation or depression angle and round it as required.

[Maximum number: 3]

NOT TO SCALE

The diagram shows triangle ABC on horizontal ground.
$A C=15 \mathrm{~m}, B C=8 \mathrm{~m}$ and $A B=20 \mathrm{~m}$ .
BP and CQ are vertical poles of different heights.
$B P=3 \mathrm{~m}$ and $C Q=4 \mathrm{~m}$ .
AQ and PQ are straight wires.

Calculate the angle of elevation of Q from P.

7.1 or 7.13 or 7.125 to 7.126
M2 for $\tan P=\frac{4-3}{8}$ oe or M1 for vertical line =4-3

All question bank results loaded

CAIE IGCSE Mathematics Extended E6.2.4 Carry Out Calculations Involving Angles of Elevation and Depression Questions question 1