2. A surveyor is “shooting a line” to a point on a tree 55 m from his current position. After rotating his surveying instrument 25° to the left, he “shoots” another line to a point on a fence post 25 m away.

I deduced that side s = 34.02 m, so...

b.) Use the Law of Sines to find the measure of angle T. (Show the appropriate formula, substitutions, and work. Give the measure of angle T to the nearest degree.)
c.) Find the measure of angle F.

Question

2.	A surveyor is “shooting a line” to a point on a tree 55 m from his current position. After rotating his surveying instrument 25° to the left, he “shoots” another line to a point on a fence post 25 m away.

I deduced that side s = 34.02 m, so...

b.)	Use the Law of Sines to find the measure of angle T. (Show the appropriate formula, substitutions, and work. Give the measure of angle T to the nearest degree.)
c.)	Find the measure of angle F.

nerdyotter · Answer

attachment

nerdyotter · Answer

I got 18 degrees for angle T and 43 degrees for angle F, which is obviously wrong, as it does not add up to 180 degrees in the triangle. I'm using the law of sines for both of these problems. What could I be doing wrong?