The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer:
d
Step-by-step explanation:
The 2 marked angles are same- side interior angles and sum to 180° , then
2 + 27x +17x + 2 = 180 , that is
44x + 4 = 180 ( subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x = 4 → d
Answer:
50.27 b/c pi is multiplyed by raduis^2
Y + 5 = 1(x - 1)
y + 5 = x - 1
y = x - 6 is the answer
This one is not too bad. They're telling us the total pie is $3,500 and the share of bills 40%. So we want
40% of 3500 = .40 (3500) = $1400
Third choice