Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
Answer:
1st one
Step-by-step explanation:
Because It is just like a right triangle.
Also, look at how the bird is formed, it looks like a right triangle.
Also, I know it's a right triangle because of the length given.
Hope this helped!
Answer:
14
Step-by-step explanation:
THE ANSWER TO THE PROBLEM IS 14
Answer:
Step-by-step explanation:
Let q represent the number of quarters (the higher-value coin). Then 8-q is the number of dimes, and Jill's total amount in change is ...
0.25q +0.10(8-q) = 1.25
0.15q + 0.80 = 1.25 . . . . . . . eliminate parentheses
0.15q = 0.45 . . . . . . . . . . . . . subtract 0.80
q = 3 . . . . . . . . . . . . . . . . . . . . divide by 0.15
the number of dimes is 8-q = 8-3 = 5.
Jill has 3 quarters and 5 dimes.
Let f(x)=y
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5
denominator cannot equals to zero
x+1≠0
x≠-1
answer
B
