Answer:
The fountain is 3.43 m high.
Explanation:
Circumference of the pool = 15 m.
C = 2[tex]\pi[/tex]r
where C is the circumference and r its radius.
r = [tex]\frac{C}{2\pi }[/tex]
= [tex]\frac{15}{2(\frac{22}{7}) }[/tex]
r = 2.3864
radius of the pool = 2.40 m
So that the height of the fountain, h, can be determined by applying trigonometric function.
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 55 = [tex]\frac{h}{2.4}[/tex]
h = Tan 55 x 2.4
= 1.4282 x 2.4
= 3.4277
h = 3.43 m
The height of the fountain is 3.43 m.
