Two people are 100 feet apart on opposite sides of a tree. the angles of elevation from the people to the top of the tree are 30° and 45°. find the height of the tree. round your answer to the nearest tenth of a foot.

36.6 ft

Step-by-step explanation:

First, find the angle at the top of the tree between the people: 180° - 30° - 45° = 105°.

Next, use the Law of Sines:  

a

sin A

=  

b

sin B

=  

c

sin C

to find the distance from the top of the tree to the second person.

x

sin (30°)

=  

100 ft

sin (105°)

x ≈ 55.1689 ft

Now, you can find the height of the tree by using a 45-45-90 special right triangle, so the height =  

55.1689

2

≈ 36.6 ft

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

answer: im gonna go with milli

step-by-step explanation: