Airplane climbs at angle of 11 degrees. Find the ground distance it has travelled with it reaches altitude of 400ft. There is no more info.?

Let the ground distance be, x.

400/x = tan 11

x = 400/tan11 = 2,057.82 ft

-

tan 11° = 400 / x

x = 400 / tan 11°

x = 2058 ft_______ground distance

Ground diatance: 400/tangent(11) = 2058 feet to the nearest foot

2057.8 ft about

You don't need any more information. Tan 11 deg = opposite (400) / adjacent (distance to be found)

400/ tan 11 deg = distance.

So you know that the angle is 11° and the side opposite of the angle is 400 ft. You want to find the length of the adjacent side. So use the tangent law.

tan 11° = 400/x

x = 400/(tan 11°)

x = 2058 ft

When it’s a right triangle, know these three acronyms:

CAH - cos x = adjacent/hypotenuse

SOH - sin x = opposite/hypotenuse

TOA - tan x = opposite/adjacent

d = 400/tan11 = 400/0.194380309 = 2057.82161 feet