Question

Please answer both A. and B. Thank you!

Answer 1

Answer: (b)-175 ft

Step-by-step 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

$\Rightarrow \dfrac{100}{d}=\dfrac{4x}{7x}\\\\\Rightarrow d=100\times \dfrac{7}{4}=175\ ft$