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: 2]

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

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The diagram shows a right-angled triangle PQR on horizontal ground. X is vertically above R and the angle of elevation of X from P is $21^{\circ}$ . $X R=2.8 \mathrm{~m}$ and $R Q=7.1 \mathrm{~m}$ .

Calculate the angle of elevation of X from Q.

21.5 or 21.52...
M1 for $\tan(\ldots)=\frac{2.8}{7.1}$ oe

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