Emir standing in a treehouse and looking down at a swingset in the yard next-door the angle depression from Emir's I line to the swingset is 31.43°, and emir is 11 feet from the ground how many feet is the base of a tree from the swingset? Round your answer to the nearest foot 15ft
20ft
18ft
24ft

18 ft

Step-by-step explanation:

Let the distance from the base of the tree to the swingset be represented by d. Applying the required trigonometric function, we have;

Tan θ =

Tan 31.43 =

d =

  =

  = 17.99974

d = 18 feet

The base of the tree is approximately 18 feet from the swingset.

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explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions