Answer:
The height of the lighthouse is approximately 166.6 feet.
Step-by-step explanation:
Let the height of the lighthouse be represented by s, then;
Tan 48° = (opposite) ÷ (adjacent)
Tan 48° = s ÷ 150
⇒ s = 150 × Tan 48°
= 150 × 1.1106
= 166.59
s ≅ 166.6 feet
Therefore, the height of the lighthouse is approximately 166.6 feet.
Answer:
Step-by-step explanation:
<u>Amount paid for food booth</u>
- 15*$100 + 15*d*$5 = 75d + $1500
<u>Amount paid for game booth</u>
- 20*$50 + 20*d*$7 = 140d + $1000
<u>Total amount paid</u>
- 75d + $1500 + 140d + $1000 = 215d + $2500
We know that equation of a parabola is given by :-
y = a(x-h)² + k
Where (h,k) is the vertex of parabola and (x,y) is any point on its curve.
Given that vertex of parabola is (3,5) and one point (x,y) is (6,-1).
We can plug the given information in the equation of parabola and solve it for value of 'a' :-
-1 = a(6 - 3)² + 5
-1 = a(3)² + 5
-1 = 9a + 5
9a = -1 -5 = -6
a = 
a = 
is the final answer.
Answer:
The millionethed in this case
