While flying a pilot spots a water tower that is 4.8km away to the north. At the same time, she also sees a monument that is 5.6km away to the south. The tower and the monument are separated by a distance of 7 km along the flat ground. Find the angles at which the pilot views the water tower.

Answer 1

Make your sketch and label point P, M, and W as plane, monument and water tower respectively.
Since we have all 3 sides of the triangle, we can use the cosine law to find one of the angles.
Let's find angle M
4.8^2 = 5.6^2 + 7^2 - 2(5.6)(7)cosM
cosM = (31.36 + 49 - 23.04)/78.4
= ...
find M
then use the sine law to find one of the other angles.
After that one step will get you the third angle.

Because of alternate angles in parallel lines, angle W will be your answer.