Question

Please answer both A. and B.


Thank you!

Answer 1

Answer: (b)-175 ft

Explanation:

In
`\triangle ABC\ \text{and}\ \triangle CDE`

`\angle ACB=\angle ECD\quad [\text{vertically opposite angles}]\\\angle ABC=\angle CDE\quad [\text{Each angle is }90^(\circ)]\\\therefore \triangle ABC \sim\ \triangle CDE\quad [\text{by AA similarity criteria}]`

(ii)for similar triangles, we can write

`\Rightarrow (100)/(d)=(4x)/(7x)\\\\\Rightarrow d=100* (7)/(4)=175\ ft`