Two trees 7 m and 4 m high stand upright on the ground. If their bases (roots) are 4 m apart, then the distance between their tops is
a. 3 m
b. 5 m
c. 4 m
d. 11 m
Solution:
Given, two trees 7 m and 4 m high stand upright on the ground.
The base of two trees are 4 m apart.
We have to find the distance between their tops.
Let the bigger tree be AD.
AD = 7 m
Let the smaller tree be BE.
BE = 4 m
Let the distance between the base of two tree be ED
ED = 4 m
Now, AC = AD - CD
AC = 7 - 4
AC = 3 m
Considering triangle ABC,
AB² = AC² + BC²
AB² = 3² + 4²
AB² = 9 + 16
AB² = 25
Taking square root,
AB = 5 m
Therefore, the distance between their tops is 5 m.
✦ Try This: Two poles 9 m and 5 m high stand upright on the ground. If their bases are 3 m apart, then the distance between their tops is
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 13
Two trees 7 m and 4 m high stand upright on the ground. If their bases (roots) are 4 m apart, then the distance between their tops is: a. 3 m, b. 5 m, c. 4 m, d. 11 m
Summary:
Two trees 7 m and 4 m high stand upright on the ground. If their bases (roots) are 4 m apart, then the distance between their tops is 5 m
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