Please help me!
To find the distance between two points, A and B, that lie on opposite sides of the Potomac River, a surveyor lays off a line segment, AC, of length 135 yards along the same bank as point A. He determines that the measure of the angle at A is 63°44' and the measure of the angle at C is 54°38'. Determine the distance from point A to point B. Round answer to two decimal places.

Question

Please help me!
To find the distance between two points, A and B, that lie on opposite sides of the Potomac River, a surveyor lays off a line segment, AC, of length 135 yards along the same bank as point A. He determines that the measure of the angle at A is 63°44' and the measure of the angle at C is 54°38'. Determine the distance from point A to point B. Round answer to two decimal places.

anonymous · Answer

ANSWER CHOICES:
AB = 145.67 yards
AB = 137.58 yards
AB = 132.47 yards
AB = 135.21 yards
AB = 125.11 yards

amistre64 · Answer

law of sines should work

amistre64 · Answer

|dw:1374314094853:dw|

amistre64 · Answer

$$\frac{c}{sin(C)}=\frac b{sin(B)}$$
$$c=\frac {b~sin(C)}{sin(B)}$$
$$c=\frac {135~sin(54)}{sin(9)}$$

amistre64 · Answer

got something alittle off in the coding

amistre64 · Answer

calc was in radians :)  the codings fine

amistre64 · Answer

try a different triangle setup
|dw:1374314712286:dw|