Question

At some time of the day, the length of the shadow of a tower is equal to its height. Then, the sun’s altitude at that time is ______.

विकल्प

• 30°

• 60°

• 90°

• 45°

Answer 1

At some time of the day, the length of the shadow of a tower is equal to its height. Then, the sun’s altitude at that time is 45°.

Explanation:

Let the height of tower BC = x m and the sun’s altitude = θ

Then Length of its shadow, AB = x m

In right-angled ΔABC, tan θ = `"BC"/"AB" = "x"/"x"` = 1

⇒ tan θ = tan 45°

θ = 45°