A hockey net is 1.83 m wide. A player shoots from a point where the puck is 13m from one goal post and 11.5m from the other. Within what angle must she make her shot to score?

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- Feb 22nd 2006, 05:26 PMcinbadStumped by this one
A hockey net is 1.83 m wide. A player shoots from a point where the puck is 13m from one goal post and 11.5m from the other. Within what angle must she make her shot to score?

- Feb 23rd 2006, 02:38 AMCaptainBlackQuote:

Originally Posted by**cinbad**

you need to find the angle between two of the sides.

RonL - Feb 23rd 2006, 02:48 AMticbolQuote:

Originally Posted by**cinbad**

Imagine, or draw the figure on paper.

It is a triangle whose 3 sides are 1.83, 13, and 11.5----all in meters.

You are asked to find the angle included by the 13m and 11.5m sides. Call that angle A.

Use the Law of Cosines.

a^2 = b^2 +c^2 -2bc*cosA

(1.83)^2 = (13)^2 +(11.5)^2 -2(13)(11.5)cosA

2(13)(11.5)cosA = (13)^2 +(11.5)^2 -(1.83)^2

cosA = [(13)^2 +(11.5)^2 -(1.83)^2] / [2(13)(11.5)]

cosA = 297.9011 /299

cosA = 0.996324749

A = arccos(0.996324749)

A = 4.914 degrees ----------------answer.