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Two pillars of equal height stand on either side of a roadway which is 150 m 150 \text{ m} 150 m wide. At a point in the road between the pillars, the...

SSC SSC CGL Tier 2 Medium Trigonometric Ratios MCQ

Question

Two pillars of equal height stand on either side of a roadway which is 150 m150 \text{ m} wide. At a point in the road between the pillars, the angles of elevation of the tops of the pillars are x∘x^\circ and y∘y^\circ such that:

tan⁡x∘=25,tan⁡y∘=35\tan x^\circ = \frac{2}{5}, \quad \tan y^\circ = \frac{3}{5}

Find the height of each pillar.

Options

A.

39 m

B.

36 m

C.

42 m

D.

33 m

trigonometryheights and distancestangentangle of elevation

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