QCEVault

Trigonometry — Question 299

Original QCE Vault practice · 4 marks

Q299 · Practice questionTechnology-freeSimple familiar4 marks

QUESTION 299 (4 marks)

Two observers stand on level ground along the same straight line from the base of a vertical lookout. Observer PP is 3030 m farther from the base than observer QQ. Their angles of elevation to the top are 30∘30^\circ and 60∘60^\circ, respectively.
P, Q and lookout base B are collinear on level ground in that order. PQ=30 m. Sight lines to top T make elevations of 30 and 60 degrees at P and Q. Not to scale.
a)
Determine the distance from QQ to the base exactly.
[3 marks]
b)
Determine the height of the lookout exactly.
[1 mark]
Question linkSyllabus coverage

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