A ladder is placed against a wall such that it reaches the top of the wall The foot of the ladder is...

Question

A ladder is placed against a wall such that it reaches the top of the wall The foot of the ladder is 15 metres away from the wall and the ladder is inclined at an angle of 60sup0sup with the ground Find the height of the wall

Accepted Answer

Solution Here ladder is considered as the hypoteneuse of the right triangle ABC As tan is PB 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 15 m away from B Take AB x m and angle of inclination is 60sup0sup We know that tan ABCB Substituting the values tan 60sup0sup x15 So we get 3 x15 By cross multiplication x 3 15 1732 15 x 25980 26 Hence the height of wall is 26 m

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