The boat is roughly 654ft away from the base of the cliff.
Step-by-step explanation:
We have the angle 17°
The side opposite the angle is 200ft.
We want to find the length of the adjacent side.
So what equation has Opposite and Adjacent in it?
Tangent. (Remember SOH-CAH-TOA)
Tan = opp/adj
Tan(theta°) = opp/adj
Rearranging,
adj = opp/tan(theta°)
adj = 200/tan(17°)
adj = 654.17ft
And to double check you answer,
° = tan^-1(opp/adj)
° = tan%-1(200/654)
° = 17°
Answer:
Step-by-step explanation:
Choosing two points on the dotted line to find equation of line.
The points are:
and
Slope of line can be calculated as:
Using point slope equation to find equation of dotted line.
where represents slope of line and represents y-intercept.
The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)
So, the equation of line is:
The dotted line indicates that the line is not included in the solution.
The solution of the inequality is below the dotted line, so thus it would be less than the line.
So, the inequality would be:
So what you want to do is multiply 245 by 1.65 (because it’s +65%) and by doing that you get $404.25 :)
Width = w
Length = 5w
Given,
Perimeter = 276 ft
5w * w = 276
w² = 55.2
--- w = 7.429670248402684 ≈ 7.43 ft
--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft