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You are measuring the height of a tree. You stand 55 feet from the base of the tree. The angle of elevation from the ground to the top of the tree is 49˚. Find the height of the tree to the nearest foot.
Options :-
A. 11 ft.
B. 70 ft.
C. 63 ft.
D. 58 ft.
E. None of the above

Please show work!

Respuesta :

Answer:

ans is C. 63 ft.

Step-by-step explanation:

u, tree base n tree top form a right-angle triangle w/

an angle of 49deg

adjacent side = 55'

opposite side = tree height

using trig fn  tan(angle)=opposite/adjacent

tan(49deg)=tree height/55'

tree height=55'*tan(49deg)

=63.27' rounding to 63 ft.

Answer:

The answer is C. 63 ft.

Step-by-step explanation

For right-angled triangle, tan=opp side / adj side

tan(49)=height/55

height=55tan(49)=63'

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