Question

A bridge across a river makes an angel of 45 with the river bank if the lengthy of the bridge across a river is 150 m what is the width of the river

Answer 1

Answer:

Super question I will tell the answer later

Step-by-step explanation:

Answer 2

Length of the bridge = AC = 150cm

Let width of the river = AB = x metres, $\sf{\angle{ACB}=45°}$

From right ∆ABC,we have

$\longrightarrow$ $\sf{\sin(45)° = \frac{AB}{AC} }$

$\longrightarrow$ $\sf{ \frac{1}{ \sqrt{2} } = \frac{x}{150} }$

$\longrightarrow$ $\sf{x = \frac{150}{ \sqrt{2} } = \frac{150}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2}} }$

$\longrightarrow$ $\sf{75 \times 1.414}$

$\longrightarrow$ ${\boxed{\sf{106.05m}}}$

Hence, the width of the river is 106.05m.