The diagram shows a cuboid $$\(P Q R S T U V W\)$$. $$\(P V=17.2 \mathrm{~cm}\)$$ The angle between the line $$\(P V\)$$ and the base $$\(T U V W\)$$ of the cuboid is $$\(43^{\circ}\)$$. Calculate $$\(P T\)$$. PT=........................$$\(\mathrm{cm}\)$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_21 Year:2020 Question No:21

Answer:

\(11.7\) or \(11.73 \ldots\)

Knowledge points:

E6.2.1 Apply Pythagoras’ theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right- angled triangle. (Angles will be quoted in degrees. Answers should be written in degrees and decimals to one decimal place.)
E6.2.2 Solve trigonometric problems in two dimensions involving angles of elevation and depression.
E6.2.3 Know that the perpendicular distance from a point to a line is the shortest distance to the line.

Solution:

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