Hi my name is Sara and I'm about to board a plane for vacation this weekend.
As we started to take off I wondered what was the distant between the airplane and the ground. The airplane had a 3200 altitude and the angle of elevation was 15 degrees, so I did 3200/tan(15) which gave me 11942ft. Therefore the distant between the airplane and the ground is 11942 ft.
Landing and reaching our destination I wonder what angle the plane has to be in order to land correctly on the road. The road was 325 ft long and we where 250 ft in the air this means I have to do sin-1(250/325) so the angle the plane has to be in order to land on the road would have to be 50 degrees.
As I was enjoying my day wandering around the island I came across two rocks which I wanted to find the distance between they had the same height of 40 ft but different angles one rock had a 15.7 degree and the other had a 20.5 degree, with this I did two equations one was 40/tan 15.7 which is 142 and 40/tan20.5 which is 106 but to find the distance between the rocks I subtracted these numbers to get a total of 36, the distance between the two rocks were 36 ft apart.
So what we have learned from my vacation this weekend was the distance between the ground and a plane, the angle which the plane had to land correctly on to the road and the distance between two rocks all thanks to trigonometry!