Question

The distance between the tops of two trees 20 m and 28 m high is 17 m. The horizontal distance between the two trees is

• A. 9 m
• B. 11 m
• C. 15 m
• D. 31 m

Answer 1

The Correct Option is C

Here AD and CE are the 2 trees and the heights are 28 m and 20 m respectively

As given in the question AC which is the distance between two trees= 17 m

According to the pythagoras theorem = \(AC^2 = AB^2 + BC^2\)

= \(17^2 = 8^2 + BC^2\)

= 289 = 64 + \(BC^2\)

= \(289 - 64 = BC^2\)

= \(225 = BC^2\)

\(BC = \sqrt{225}\)

\(BC = 15\ cm\)

The correct option is (C): 15 m