A group of climbers must determine the distance from one side of a ravine to another. They make the measurements shown. To the nearest foot, what is the

In the second problem, since you know SSS, use the Law of Cosines.

m² = l² + n² - 2·l·n·cos(M)

14² = 17² + 11² - 2·17·11·cos(M)

196  =  289 + 121 - 374·cos(M)

196  =  410 -374·cos(M)

-214  =  -374·cos(M)

0.57219  =  cos(M)

M  =  55.1°

For the first one, the remaining angle in the triangle is 17°

So, using the Law of Sines, we have

d/sin(38) = 10/sin(17)   multiply both sides by sin(38)

d =10*sin(38)/sin(17) = about 21 ft.

The other two problems are similar to this one I just worked (using The Law of Cosines):

http://web2.0calc.com/questions/hey-it-s-laila-again-i-need-help-with-another-question-there-is-a-picture-in-this-one-too

In the last two questios, it's asking for different values...Can you help me with those? :)