Question

A hockey player knows that the two goal posts of a hockey net are 1.83 meters apart. The player tries to score a goal by shooting the puck along the ice from the left side of the net at a point 4.8m from the left post and further from the right post. From the player's position the goal posts are 11 degrees apart. Draw a labeled picture and determine how far away the player is from the right post.

Answer 1

The distance the player is from the right post is = 5.1 meters

Calculation of distance using Pythagorean theorem

The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Formula for the Pythagorean theorem =

a²= b²+c²

From the diagram given,

The hypotenuse (a) = x²

b= 1.82²

c = 4.8²

x² = 1.82² + 4.8²

x²= 3.3124 + 23.04

x²= 26.3524

a= √26.3524

a= 5.1 meters.

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