Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swingset is 30.26°, and Emir is 14 feet from the ground. How many feet is the base of the treehouse from

the swingset? Round your answer to the nearest foot.

15 feet

20 feet

18 feet

24 feet

24 feet

Step-by-step explanation:

The given situation can be thought of as the right angled triangle situation attached in the image in answer area.

E is the position of Emir.

F is the base of treehouse.

G is the swingset.

Angle of depression,

Vertically opposite angles are always equal.

So,

In ,

EF = 14 ft

To find:

Side FG = ?

Solution:

We can use trigonometric identity of Tangent here:

So, the answer is 24 feet.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet