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

## Answer this Question

## Related Questions

- math - Charlie and Peter are driving around a racetrack. Charlie drives at an ...
- 8th grade math - Ms. Sue please - Charlie and Peter are driving around a ...
- Math - 8th grade - Please help - I don't know the formula to figure this out. ...
- math - Peter & Diane have the same average in mathematics. On the next test ...
- Maths- calculus - Two ships leave different ports A and B 100 miles apart at ...
- math***help plz*** - please help me with math. A car travels 132 miles using 4 ...
- Math - A boat travels 74 miles on a course with direction 34 degrees and then ...
- trig - A freighter leaves on a course of 120 degrees and travels 515 miles. The...
- trig - Illustrate and solve. A monument near a dock is 12 miles east of a ship. ...
- math - 13. If two planes leave the same airport at 1:00 PM, how many miles apart...