Ok I am completely stuck on one and I would like a second opinion on the other two.
1. A major League baseball diamond square 90 feet on a side. The pitching rubber is located 60.5 feet from home plate on a line joining home plate and second base. A.) how far is it from the pitching rubber to first base? B.) If a pitcher faces home plate, through what angle does he need to turn to face first base?
I'm stuck because I only have two of the distances but no angles. I tried setting up a drawing but was still stuck I guess the angles of the square would be 90° and then each triangle would have 45° angles?
2. Coast Guard Station Zulu is located 120 miles due west of Station X-ray. A ship at sea sends an SOS call that is received by each station. The call to Station Zulu indicates that the bearing of the ship from Zulu is N40°E the call to Station X-Ray indicates that the bearing of the ship from X-ray is N30°W.
A.) How far is each station from the ship? B.) If a helicopter capable of flying 200 mph is dispatched from the nearest station to the ship, how long will it take to reach the ship?
I got 120/sin70°=a/sin50° a~97.8mi and 120sin60°/sin70°=110.6mi so the angles of the triangle would be 50°, 60° and 70°? and the sides would be 120mi 97.8mi and 110.6mi? Part b) would be 97.8(60)/200~29.34min or ~29min 20 seconds?
3.) At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck. One of the pickups pulls with a force of 2000 pounds and the other pulls with a force of 3000 pounds with an angle of 45° between them. With how much force must the monster truck pull in order to remain unmoved? (It will be in the opposite direction of the resultant force and with the same magnitude.)
I got and that is ~2124 pounds?
Also on a side note, can anyone tell me a site where you can draw in the angles and make like graphs (sorry for not really knowing what I'm taking about)