Question

Question 8
The shadow of 7.5 mt. pole is 5 meter, then find out the height of a tree standing nearby whose shadow is 10 mt. long at the same time.

Answer 1

• Firstly focus on the information we are given.
• The tree is 7.5 m tall and it's shadow is 5 m.
• We need to find the height of tree whose shadow is 10 m.
• It's now clear that this is a simple trigonometry problem.
• For the pole, the tan x will be 7.5/5 i.e. 3/2
• The subject angle by the tree on the ground will be the same for the tree as the pole.
• So tan x for tree is still 3/2. And the base length is 10
• Equating X/10 = 3/2 we get X=15.