Edexcel IGCSE Math A 4.8.HB angles of elevation and depression

Practise the elevation-and-depression question by drawing the right triangle from the balloon diagram and choosing the correct trigonometric ratio.

Exam points

Use an angle of elevation or depression to form a right triangle and solve with trigonometry.

[Maximum number: 3]

The diagram shows two vertical phone masts, AB and CD, on horizontal ground.

Figure for Question 4.8.HB Angles of elevation and depression question 1 — Edexcel IGCSE Math A Higher

Work out the size of the angle of depression of B from D
Give your answer correct to one decimal place.

Height difference:
30.7-6.2=24.5 $\tan x=\frac{24.5}{244}$ $x=\tan^{-1}\left(\frac{24.5}{244}\right)=5.7^\circ$

Final answer:
$5.7^\circ$

Accept $5.65^\circ$ to $5.75^\circ$ . Special case: $84.3^\circ$ or $264.3^\circ$ may receive B2.

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4.8.HB Angles of elevation and depression question 1