Hello There!!
Given
[tex] \text{Length of the tree= 25 feet} \\ \text{Angle of Elevation= 30°}[/tex]
To Find
[tex] \text{Height Of The Tree}[/tex]
[tex] \text{Let The Height of the Tree be ‘x’}[/tex]
We Know:-
[tex] \tan\theta = \frac{ \text{perpendicular}}{ \text{base} }[/tex]
[tex] \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[/tex]
[tex] \therefore \text{height of the tree(\text{x})} = \red{14.43 \: \text{feet}}[/tex]
Option C is the correct answer
Hope This Helps!!
