A mobile phone tower stands vertically on level ground in Coimbatore. From a point on the ground 45 m from the foot of the tower, the angle of elevation of the top is 30°. Find the exact height of the tower (in m), leaving √3 in the answer.

Question

Accepted Answer

15 √3. tan 30 = h/45 => 1√3 = h/45 => h = 45√3 = 15 √3 m (about 25.98 m). Multiplying by √3 instead of dividing gives the wrong value 45 √3 m.

A mobile phone tower stands vertically on level ground in Coimbatore.
From a point on the ground 45 m from the foot of the tower, the angle of elevation of the top is 30°.
Find the exact height of the tower (in m), leaving $3$ in the answer.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A mobile phone tower stands vertically on level ground in Coimbatore.From a point on the ground 45 m from the foot of the tower, the angle of elevation of the top is 30°.Find the exact height of the tower (in m), leaving 3​ in the answer.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A mobile phone tower stands vertically on level ground in Coimbatore.
From a point on the ground 45 m from the foot of the tower, the angle of elevation of the top is 30°.
Find the exact height of the tower (in m), leaving $3$ in the answer.