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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 49Ëš. 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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