Question

A famous golfer tees off on a long, straight 455 yard par 4 and slices his drive 13 degrees to the right of the line from tee to the hole. If the drive went 283 yards, how many yards will the golfer's second shot have to be to reach the hole

Answer 1

187 yards

Explanation:

In this question, we are asked to calculate the distance that a golfer second shot has to be to reach the hole.

Please check attachment for complete solution and step by step explanation

Answer 2

The distance of the golfer's second shot have to be to reach the hole is 190.22 yards

Explanation:

Here we have the location of the starting point to the golf ball = Point A

Location of the ball = Point B

Location of the hole = Point C

There are three points in the triangle

we know two sides of the triangle and n included (in between) angle.

Therefore, the length of the third side is given by cosine rule as

`a^(2) = b^2 + c^2 - 2 * b * c* cos(A)`

b = 455 yards

c = 283 yards

Angle A = 13 °

Therefore,

`a^(2) = 455^2 + 283^2 - 2 * 455 * 283* cos(13) = 36184`

a = √36184 = 190.22 yards.