Answer:
1675 ft
Step-by-step explanation:
For us to calculate how close the windmill is to the fire, if we imagine it as a triangle, the distance from watch tower to the fire will be:
tan θ= opposite/adjacent
opposite=140 ft
adjacent = x
θ=3°
Thus;
tan 3 = 140/x
x=140/tan 3
x = 2,671.359 ft
Now, the distance from watch tower to windmill will be:
tan θ=opposite/ adjacent
θ=8°
opposite=140 ft
adjacent=y
thus
tan 8 = 140/y
y = 140/tan8
y=996.15 ft
Now, the distance between fire and wind mill will be:
x - y = 2671.359 - 996.15
x - y = 1675.209 ≈ 1675 ft
Answer:
The answer is 7
Step-by-step explanation:
2x+17+3x=4x+3x+3
5x+17=7x+3
5x-7x=3-17
-2x=-14
x=7
Answer: 188 children and 200 adults were admitted
Step-by-step explanation:
Let x represent the number of children that were admitted.
Let y represent the number of adults that were admitted.
On a certain day, 388 people entered the park. It means that
x + y = 388
The admission fee at the amusement park is $2.00 for children and $6.80 for adults. The admission fees collected on that day totaled $1736. It means that
2x + 6.8y = 1736- - - - - - - - - - 1
Substituting x = 388 - y into equation 1, it becomes
2x + 6.8y = 1736
2(388 - y) + 6.8y = 1736
776 - 2y + 6.8y = 1736
- 2y + 6.8y = 1736 - 776
4.8y = 960
y = 960/4.8
y = 200
x = 388 - y = 388 - 200
x = 188
