A pine tree growing on a hillside makes a 77 degree angle with the hill. From a point 81 feet up the​ hill, the angle of elevation to the top of the tree is 63 degree and the angle of depression to the bottom is 22 degrees . ​Find, to the nearest tenth of a​ foot, the height of the tree.

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.

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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: