Question

the angle of elevation to a nearby tree from a point on the ground is measured to be 53 ∘ ∘ . how tall is the tree if the point on the ground is 89 feet from the tree? round your answer to the nearest hundredth of a foot if necessary.

Answer 1

The tree is 118.11 feet tall.

Step-by-step explanation:

tan

53

=

tan 53=

 

 

�

89

89

x

​

tan

53

1

=

1

tan 53

​

=

 

 

�

89

89

x

​

89

tan

53

=

89 tan 53=

 

 

�

x

Cross multiply.

�

=

118.106989...

≈

118.11

x=118.106989...≈118.11

Type into calculator and round .

The tree is 118.11 feet tall.