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 33.69°, and Emir is 10 feet from the ground. How many feet is the base of the tree from the swingset? Round your answer to the nearest foot. 15 feet
18 feet
20 feet
24 feet

15 feets

Step-by-step explanation:

From. Trigonometric relation :

Tanθ = opposite / Adjacent

Tan 33.69 = 10 / x

0.6666649 = 10 / x

x = 10 / 0.6666649

= 15 feets

Hence, base of tree to swingset is 15 feets

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: