A temple gopuram in Madurai is 45 m tall. A visitor standing on level ground finds the angle of elevation of its top to be 60°. Find her distance from the foot of the gopuram, correct to two decimal places (take √3 = 1.732).

Question

Accepted Answer

25.98. tan 60 = 45/d => d = 45√3 = 15 √3 = 15 x 1.732 = 25.98 m. Multiplying instead of dividing gives 77.94 m, and using sin 60 gives 51.96 m, which is the length of the slanting line of sight, not the ground distance.

A temple gopuram in Madurai is 45 m tall.
A visitor standing on level ground finds the angle of elevation of its top to be 60°.
Find her distance from the foot of the gopuram, correct to two decimal places (take $3 = 1.732$ ).

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More Class 10 Heights and Distances practice

A temple gopuram in Madurai is 45 m tall.A visitor standing on level ground finds the angle of elevation of its top to be 60°.Find her distance from the foot of the gopuram, correct to two decimal places (take 3​=1.732).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A temple gopuram in Madurai is 45 m tall.
A visitor standing on level ground finds the angle of elevation of its top to be 60°.
Find her distance from the foot of the gopuram, correct to two decimal places (take $3 = 1.732$ ).