Question

A baseball player bunts a ball down the first base line. It rolls 32 ft at an angle of 25degrees with the first base path. The​ pitcher's mound is 60.5 ft from home plate. How far must he travel to get to the​ ball

Answer 1

Answer:

32.3 feet

Step-by-step explanation:

Let BC=32 feet

AC=60.5 feet

The angle between side BC and AC=45-25=20 degrees

We have to find the distance traveled by player to get to the ball.

Cosine law: $c^2=a^2+b^2-2ab Cos\theta$

Using Cosine law

$c=\sqrt{(32)^2+(60.5)^2-2(32)(60.5)Cos 20^{\circ}}$

$c=\sqrt{(32)^2+(60.5)^2-2(32)(60.5)(0.9396)}$

$c=32.3 feet$

Hence, he travel 32.3 feet to get to the ball.