Question

Town hall is located directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall. What is the length between the school and the fire station?

Answer 1

Answer:

2.40 miles

Step-by-step explanation:

The distances fors a right angle triangle as shown in attached image

Using sin Ф =$\frac{ opposite side}{Hypotenuse }$  = $\frac{1.7}{Hypotenuse}$

sin 45 = $\frac{1.7}{Hypotenuse}$  

Hypotenuse = $\frac{1.7}{sin 45}$ = $\frac{1.7}{0.7071}$ = 2.40