Question

Please help im on the verge of tears.

Set up a right triangle model for this problem and solve by using the reference table trigonometric ratio that applies.


Who gains altitude more quickly, a pilot traveling 400 mph and rising at an angle of 30 degrees, or a pilot traveling 300 mph and rising at an angle of 40 degrees?

Answer 1

Answer: The pilot traveling 400 mph rising at an angle 30 degrees is going to gain more altitude faster

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Explanation:

Draw out the triangles as you see in the attached image below. We'll use the sine rule because we want to tie together the unknown height (h) which is the opposite side of the reference angle, to the known hypotenuse (the speed of the aircraft)

For the first plane,

sin(angle) = opposite/hypotenuse

sin(30) = h/400

h = 400*sin(30)

h = 200

so the first plane is gaining altitude at 200 mph (each hour, the plane is 200 miles higher up)

For the second plane

sin(angle) = opposite/hypotenuse

sin(40) = h/300

h = 300*sin(40)

h = 192.836282905961

h = 192.84

which is smaller than the previous result (200)

So we see that the first plane is rising faster

Answer 2

Answer:

a pilot traveling 400 mph and rising at an angle of 30 degrees

Step-by-step explanation: