Posted by **John** on Saturday, April 16, 2011 at 5:39pm.

Peter (P) and Jamie(J) have computer factories that are 132 miles apart. They both ship their completed parts to Diane (D). Diane is 72 miles from Peter and 84 miles from Jamie. Using the points D,J,and P to form a triangle, find m<PDJ to the nearest tenth of a degree.

- trig -
**MathMate**, Saturday, April 16, 2011 at 7:12pm
Given ΔPDJ,

PJ=132 miles

PD=72 miles

DJ=84 miles

Triangle (angles) can be solved using the cosine rule, since all sides are known.

Let ∠PDJ = θ

Then

cos(θ) = (PD^sup2;+DJ²-PJ²)/(2PD*DJ)

Can you take it from here?

- trig -
**maria**, Sunday, May 4, 2014 at 1:09am
115.4

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