 # ML Aggarwal Solutions Class 10 Mathematics Solutions for Heights and Distances Exercise 20 in Chapter 20 - Heights and Distances

A ladder is placed against a wall such that it reaches the top of the wall. The foot of the ladder is 1.5 metres away from the wall and the ladder is inclined at an angle of 600 with the ground. Find the height of the wall.

Solution:

Here, ladder is considered as the hypoteneuse of the right triangle ABC. As tan θ is P/B, so we can use this trignometric ratio to find the height of the wall.

Consider AB as the wall and AC as the ladder whose foot C is 1.5 m away from B

Take AB = x m and angle of inclination is 600 We know that

tan θ = AB/CB

Substituting the values

tan 600 = x/1.5

So we get

√3 = x/1.5

By cross multiplication

x = √3 × 1.5 = 1.732 × 1.5

x = 2.5980 = 2.6

Hence, the height of wall is 2.6 m.

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