First step is to plot all the given coordinates in the xy plane.
Notice that after plotting the points A, B, C and D, we have got the figure ABCD is a trapezium with bases AD = 4 units, BC = 6 units and height: DE= 5 units.
Formula to find the area of trapezium is:
Area =
=
=
= 5 * 5
= 25 square units.
So, third choice is correct.
Hope this helps you!
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.
