Answer:
10 sqrt(3)/3 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side /adj side
tan 30 = x/10
10 tan 30 =x
10 ( sqrt(3)/3) = x
10 sqrt(3)/3 =x
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:
sin41 = x/1503 multiply both sides by 1503 to cancel it out
1503sin41 = x plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.
