Homework Help: Pre-Calculus-Trig

Posted by Chloe Mack on Sunday, January 30, 2011 at 7:56pm.

Two surveyors, Joe and Alice, are 240 meters apart on a riverbank. Each sights a flagpole on the opposite bank. The angle from the pole to Joe (vertex) to Alice is 63 degrees. The angle from the pole to Alice(vertex)to Joe is 54 degrees. How far are Joe and Alice from the pole?

Pre-Calculus-Trig - Henry, Monday, January 31, 2011 at 10:36pm
C(3rd angle) = 180 - 63 - 54 = 63deg.
If 2 angles(63deg) of a triangle are =
the sides opp. these angles are =.
Therefore, Alice's dist. from pole =
240m.

Using the Law of Sines,

d / sin54 = 240 / sin63,
d = 240sin54 / sin63 = 218m. = Joe's
dist. from pole.

Answer this Question

Related Questions

Math - Two surveyors are on opposites sides of a swamp. To find the distance ...
Math - Two surveyors are on opposites sides of a swamp. To find the distance ...
physics - A surveyor measures the distance across a straight river by the ...
physics - A surveyor measures the distance across a straight river by the ...
math/trig - A flagpole casts a shadow 44 ft with the sun angle of elevation is ...
Pre-Calculus-Trig - Two trains depart simultaneously from the same station. The ...
Pre-Calculus-Trig - A 40 foot high flagpole sits on the side of a hill. The ...
MATH TRIG - FROM A DISTANCE OF 80 M. THE ANGLE OF ELEVATION OF THE TOP OF A ...
physics - A baseball is hit with a speed of 27 meters per second at an angle of...
Pre Calc - From 2 points 400 yards apart on the bank of a straight river flowing...

For Further Reading

First Name:
School Subject:
Answer: