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Self Practice 8.3e

1. Jasni is standing on top of a hill observing an Aeroplane
aeroplane and a rock. Represent the situation by
drawing and labelling
(a) angle a which represents the angle of elevation
of the aeroplane from Jasni.
(b) angle b which represents the angle of depression Jasni
of the rock from Jasni. Rock

How do you solve problems?

15 LEARNING
STANDARDS
In the diagram, POT, QOU, PQR and P V Solve problems involving
VOR are straight lines. 62° angles related to parallel
(a) Find the value of x. 110° 75° O lines and transversals.
(b) Assuming PV is a horizontal Q U
line and ∠PVO is the angle of x
depression of O from V, find the R S T
angle of elevation of P from O.

CHAPTER
8 (a) ∠QOS = ∠PQO Alternate angles
= 110° Photographers and
∠QOR = ∠PVR Corresponding angles videographers use
= 62° the knowledge of
Thus, x = 110° – 62° lines and angles to
= 48° help them capture
photographs and
(b) ∠QOV + 62° = 180° The sum of the interior angles record videos skilfully.
∠QOV = 180° – 62°
= 118°
∠POQ = 118° – 75°
= 43°
Thus, the angle of elevation of P from O is 43°.

Self Practice 8.3f
R
1. In the diagram, PQR and QTU are straight lines. W
25° V
(a) Find the values of x and y. x y
(b) Assuming WV is a horizontal line, find the Q
angle of elevation of V from T. T U
P 88°
S

194
Chapter 8

08 TB Math F1.indd 194 11/10/16 12:17 PM