Trigonometry Questions Year 9 Cheat Sheet by inkirbythesecond

Andy is driving his normal route to work on a straight highway when he comes across a road closure. He decides to measure some inform­ation about this detour route.

He first travels 200 m at a bearing of 030o. He then slightly changes course and heads on a bearing of 010o for 150 m. Finally, he changes course to a bearing of 330o for another 252 m. This puts him back onto the straight highway he started on.

Calculate how much longer the detour is.

Thank You :D

For P.E. class, Josh is studying his bowling technique in cricket. He finds that he releases the ball just after the apex of his arm rotation, causing the ball to travel at an angle of 81° from the vertical. Josh also measures the height that his arm reaches at this release point, getting a value of 2.41 m.

He knows the distance from the bowling crease to the wicket is 18.9 m, and the wickets are 71.1 cm tall. Assume that the ball travels fast enough that the trajectory is a straight line, and that the ball will bounce off the pitch at the same angle it came from. Calculate the height of the ball will bounce to at the wickets and hence determine whether the ball will hit them.

An airplane departs A and flies on a 143° course for 368 km to B. It then changes directions to a 233° course and flies a further 472 km to C.

Find:
1) the distance of C from A
2) the bearing of C from A