Help! An airplane takes off at an angle of 15 degrees with the ground. To the nearest 10 feet, how far has the airplane flown when it has covered a horizontal distance of 1800 feet?

1863.5 feets

Step-by-step explanation:

Using Trigonometry :

The distance, d in the attached diagram can be obtained using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 15° = 1800 / d

0.9659258 = 1800 / d

0.9659258 * d = 1800

d = 1800 / 0.9659258

d = 1863.4971 feets

The distance covered to the nearest 10 feet = 1863.5 feets

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

the answer is b