Answer:
x = 64 m
Step-by-step explanation:
The scale is proportional to the actual:
(6 m)/(3/4 cm) = x/(8 cm)
Multiplying by 8 cm, we get ...
x = (8 cm)·(6 m)/(3/4 cm)
x = 64 m . . . . the width of the actual wall
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:
j
Step-by-step explanation:
Answer:
k
≤
7
Step-by-step explanation:
Distance between two points, d, is given by

where: (x1, y1) = (8, 2) and (x2, y2) = (3, 8)