Answer:
x=1.6 and x=13.4
Step-by-step explanation:
First we must bring -3x over to the left side by addin git the both sides
Since it as at the same time and place.
Let x be the length of the shadow of the 40-ft pole.
The ratio from 30 and 8 would have to be the same as 40 and x.
30:8 = 40:x
30/8 = 40/x Cross multiply
30x = 40*8
x = 40*8 / 30 = 32/3 = 10.67
Length of shadow for 40ft is 10.67 ft.
For example, the probability of choosing a male who prefers sports cars is 39/240 or 16%. The probability of choosing a male is 60/180 = 25%.
Two Way Relative Frequency Table. To convert counts into relative frequencies, divide the count by the total number of items. In the above table, the first count is for men / Rom-com (count=6), so 6/60 = 0.1.
Answer:
height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)
Step-by-step explanation:
She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.
A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,
the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.
adjacent side = 16 ft
opposite angle = ?
using tangential ratio
tan 58° = opposite/adjacent
tan 58° = h/16
cross multiply
h = 16 × 1.60033452904
h = 25.6053524647
height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647
height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)
