The library is 5 miles from the post office. How many yards is the library from the post office? a 5 yards
b 352 yards
c 8,800 yards
d 17,600 yards

c 8,800 yards

Step-by-step explanation:

1 mile = 1760 yards

5 miles = 5 * 1760 yards = 8,800 yards

c 8,800 yards

Option D is correct.

Step-by-step explanation:

We are given with a right angled triangle.

Measurement of sides of triangle are a , b , c

and measure of ∠C is 90°

We know that we have a relationship between sides and an angle opposite to a side.

This relation is given by LAW OF COSINES.

In given triangle and using law of cosines, we have

b² = a² + c² - 2ac cos B

a² = b² + c² - 2cb cos A

c² = a² + b² - 2ab cos C  ⇒ c² = a² + b² - 2ab cos(90°)

Therefore, Option D is correct.