SOLUTION: A road is inclined at an angle of 45 degrees. After driving 300 feet along this road, find the driver's increase in altitude.

Algebra ->  Trigonometry-basics -> SOLUTION: A road is inclined at an angle of 45 degrees. After driving 300 feet along this road, find the driver's increase in altitude.      Log On


   



Question 1020231: A road is inclined at an angle of 45 degrees. After driving 300 feet along this road, find the driver's increase in altitude.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Consider the road is a right
angled triangle.
Hypotenuse = 300 ft.
Altitude = Opposite side.
Using trigonometric ratios.
Sin(x) = opposite/hypotenuse
sin (45) = opposite/300
Opposite = 300 x tan(45)
Oppsite = 300
So altitude climbed = 300 feet.
Hope this helps :-)