29 The points P, Q, and B lie in a horizontal plane. From P, which is due west of B, the angle of elevation of the top of a tower AB of height h meters is 42°. From Q, which is on a bearing of 196° from the tower, the angle of elevation of the top of the tower is 35°. The distance PQ is 200 metres. a Explain why
29 The points P, Q, and B lie in a horizontal plane. From P, which is due west of B, the angle of elevation of the top of a tower AB of height h meters is 42°. From Q, which is on a bearing of 196° from the tower, the angle of elevation of the top of the tower is 35°. The distance PQ is 200 metres. a Explain why
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
I need help with part a and b.
Transcribed Image Text:29 The points P, Q, and B lie in a horizontal plane. From P, which is due west of B, the angle of elevation of
the top of a tower AB of height h meters is 42°. From Q, which is on a bearing of 196° from the tower, the
angle of elevation of the top of the tower is 35°. The distance PQ is 200 metres.
a Explain why ZPBQ = 74º.
b
200²
cot² 42° + cot²35° - 2cot 35° cot 42° cos 74°
c Hence find the height of the tower, correct to the nearest metre.
Show that h²
=
P
200 m
42°
Q
35⁰
A
B
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