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Serggg [28]
2 years ago
14

The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Find the heig

ht of the tree.
•
A. 39.1 ft
•
B. 43.3 ft
•
C. 14.4 ft
•
D. 17.7 ft

Mathematics
2 answers:
xz_007 [3.2K]2 years ago
8 0
The answer is C it won’t let me do all the steps but I hope it helps
jarptica [38.1K]2 years ago
5 0
<h3>Hello There!!</h3>

<u>Given</u>

\text{Length of the tree= 25 feet} \\  \text{Angle of Elevation= 30°}

<h3><u>To </u><u>Find</u></h3>

\text{Height Of The Tree}

\text{Let The Height of the Tree be ‘x’}

<u>We </u><u>Know</u><u>:</u><u>-</u>

\tan\theta =  \frac{ \text{perpendicular}}{ \text{base} }

\tan \theta =  \frac{ \text{height of the tree}}{ \text{length of the base}}  \\  \\  \implies  \tan30 =  \frac{ \text{x}}{25}  \\  \\  \implies  \text{x }= 25 \times  \tan30 \\  \\  \implies  \text{x }= 25 \times 0.577 \\  \\  \implies  \text{x} = 14.425 \\  \\  \implies \text{x} = 14.43

\therefore \text{height of the tree(\text{x})} =  \red{14.43 \:  \text{feet}}

Option C is the correct answer

<h3>Hope This Helps!!</h3>
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