# Math

Two surveyors are on opposites sides of a swamp. To find the distance between them, one surveyor locates a point T that is 200 meters from her location at pont p. The angle of sight from T to the other surveyor's position, R, measure 72 degrees for angle RPT and 63 degrees for angle PTR. how far apart are the surveyors?

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1. The third angle of the triangle is
PRT = 180-63-72 = 45 degrees. The side with length 200 m is opposite this angle. Use the law of sines for the other side lengths.

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2. sin 63 degrees/200m= sin 45 degrees/ R

R= sin 45 degrees x 200m/sin 63 degrees
= 158.7m

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3. No, you have done the law of sines wrong>

SinA/a=SinB/b

You have the sides mixed up.

Sin63/R=Sin45/200

check my thinking.

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👨‍🏫
bobpursley

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