A television antenna stands vertically on the top of a building 15 m tall in Nagpur. From a point on level ground 15 √3 m from the foot of the building, the angle of elevation of the TOP of the antenna is 45°. Find the exact height of the antenna alone (in m).

Question

Accepted Answer

15(√3 - 1). tan 45 = H15 √3 => H = 15 √3 m is the height of the antenna's TOP above the ground. The antenna alone = 15 √3 - 15 = 15(√3 - 1) m (about 10.98 m). Stopping at 15 √3 m forgets to subtract the building.

A television antenna stands vertically on the top of a building 15 m tall in Nagpur.
From a point on level ground 15 $3$ m from the foot of the building, the angle of elevation of the TOP of the antenna is 45°.
Find the exact height of the antenna alone (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A television antenna stands vertically on the top of a building 15 m tall in Nagpur.From a point on level ground 15 3​ m from the foot of the building, the angle of elevation of the TOP of the antenna is 45°.Find the exact height of the antenna alone (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A television antenna stands vertically on the top of a building 15 m tall in Nagpur.
From a point on level ground 15 $3$ m from the foot of the building, the angle of elevation of the TOP of the antenna is 45°.
Find the exact height of the antenna alone (in m).