Two Equal Poles Across an 80m Road

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Some Applications of Trigonometry

Two Equal Poles Across an 80m Road

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 5

The problem

Two poles of equal heights stand on either side of an 80 m80\text{ m} wide road. From a point between them on the road, the angles of elevation of their tops are 60∘60^\circ and 30∘.30^\circ. Find the height of the poles and the distance of the point from each pole.

Step 1 · Your move

Let each pole have height hh, and let the distance from the point to the closer pole be xx. What is hh in terms of xx from the 60∘60^\circ right triangle?

teal: 60° (to pole AB)amber: 30° (to pole CD)hhx80 - xBDPAC
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