Answer:
The answer is 30.66, mark me as brainliest
Answer:
d is your Answer .............
Answer:
407.22 foot is the boat from the base of the lighthouse
Step-by-step explanation:
Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.
Let x foot be the distance of the object(boat) from the base of the lighthouse
Angle of depression = ![7^{\circ}](https://tex.z-dn.net/?f=7%5E%7B%5Ccirc%7D)
[Alternate angle]
In triangle CAB:
To find AB = x foot.
Using tangent ratio:
![\tan (\theta) = \frac{Opposite side}{Adjacent Base}](https://tex.z-dn.net/?f=%5Ctan%20%28%5Ctheta%29%20%3D%20%5Cfrac%7BOpposite%20side%7D%7BAdjacent%20Base%7D)
![\tan (\angle CAB) = \frac{BC}{AB}](https://tex.z-dn.net/?f=%5Ctan%20%28%5Cangle%20CAB%29%20%3D%20%5Cfrac%7BBC%7D%7BAB%7D)
Here, BC = 50 foot and ![\angle CAB =7^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20CAB%20%3D7%5E%7B%5Ccirc%7D)
then;
![\tan (7^{\circ}) = \frac{50}{x}](https://tex.z-dn.net/?f=%5Ctan%20%287%5E%7B%5Ccirc%7D%29%20%3D%20%5Cfrac%7B50%7D%7Bx%7D)
or
![x = \frac{50}{\tan 7^{\circ}}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B50%7D%7B%5Ctan%207%5E%7B%5Ccirc%7D%7D)
![x = \frac{50}{0.1227845609}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B50%7D%7B0.1227845609%7D)
Simplify:
AB = x = 407.217321 foot
Therefore, the boat from the base of the light house is, 407.22'
The first one would be the right one!
you just take all the y one side and the numbers on one side
so 8y+4= 6+3y
now 8y-3y= 6-4
therefore 5y = 2
!!
Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5