You have to include a drawing that relates the distace between de towers and some angles.
I will use one that gives the angle from the base of Seafirst Tower to the top of Columbia tower as 53 degress.
This lets you calculate the distance between the towers, d, as
tan(53) = 954 / d => d = 954 / tan(53) = 718.89ft
The same drawing gives the angle from the the base of the Columbtia tower to the top of the Seafirst Tower as 27 degrees.
Tnen, tan(27) = height / d => height = d*tan(27) = 718.89*tan(27) = 366.29 ft
Answer: 366.29 ft
Answer:
240 m
Step-by-step explanation:
The area of a square field is 3600 m².
We need to find the length of fencing he needs to buy. It means we need to find the perimeter of the field.
The area of a square field is given by :
A = side²
So,
Length of fencing = perimeter
= 4(s)
= 4(60)
= 240 m
So, he would need to buy 240 m of fencing.
Answer:
Haeather ran at a speed of 5 miles per hour.
Step-by-step explanation:
Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:
48/4 = 12
Thus, Haeather ran 1 mile every 12 minutes.
60/12 = 5
1 x 5 = 5
Therefore, Haeather ran at a speed of 5 miles per hour.
Answer: the length of the rectangle is 37ft
the width of the rectangle is 6 ft
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 86 feet. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43 - - - - - - - - - - - -1
Its length is 7 more than five times its width.. This means that
L = 5W + 7
Substituting L = 5W + 7 into equation 1, it becomes
5W + 7 + W = 43
6W + 7 = 43
6W = 43 - 7
6W = 36
W = 36/6
W = 6
L = 5W + 7 = 5 × 6 + 7
L = 37
1) 3.8x + 5.2x - 6.7 = 11.3
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2
2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3
3)
Multiply by 3 by both sides:
Simplify:
2x = 18
x = 18/2
x = 9
4)
Do lowest common denominator:
Simplify by 5 by both sides: