Answer:
The distance of the plane from the base of the tower is 25.5 foot.
Step-by-step explanation:
As given
Max is in a control tower at a small airport.
He is located 50 feet above the ground when he spots a small plane on the runway at an angle of depression of 27°.
Now by using the trigonometric identity.
As shown in the figure given below
Perpendicular = CB
Base = AC = 50 feet
Put in the identity.
Put in the above
CB = 0.51 × 50
CB = 25.5 foot
Therefore the distance of the plane from the base of the tower is 25.5 foot.
Answer:
x - 3y = 8.
Step-by-step explanation:
Use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So substituting the given values:
y - (-2) = 1/3(x - 2)
y + 2 = 1/3x - 2/3 Multiply through by 3:
3y + 6 = x - 2
x - 3y = 6 + 2
x - 3y = 8 <---- Standard Form.
Answer:
B
Step-by-step explanation:
let X represent the smaller paintings and Y represent the larger paintings
since she bought 8 paintings
X+Y=8
She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40
25×X+40×Y=230
25X+40Y=230
