Answer:
The fountain is 3.43 m high.
Explanation:
Circumference of the pool = 15 m.
C = 2r
where C is the circumference and r its radius.
r =
=
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 =
Tan 55 =
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.
Answer:
D) D = , E) (C, D) = (
Explanation:
Part D) two expressions are indicated
3C + 4D = 5
2C +5 D = 2
let's simplify each expression
3C + 4D = 5
4D = 5 - 3C
we divide by 4
D =
The other expression
2C +5 D = 2
2C = 2 - 5D
C =
we can see that the correct result is 1
Part E.
It is asked to solve the problem by the substitution method, we already have
D =
we substitute in the other equation
2C +5 D = 2
2C +5 (5/4 - ¾ C) = 2
we solve
C (2 - 15/4) + 25/4 = 2
-7 / 4 C = 2 - 25/4
-7 / 4 C = -17/4
7C = 17
C =
now we calculate D
D =
D = 5/4 - 51/28
D =
D = - 16/28
D =
the result is (C, D) = ( )