Select the correct answer.
2 answers:
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Answer:
Step-by-step explanation:
This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:
and
so
x = 5727.25 feet, the third choice down
Answer:
Graph 'B' represents the correct graph.
The correct graph is attached below.
Step-by-step explanation:
Let 'A' be the point:
Let 'B' be the point:
As point A(-1 1/2, 1/2) can be written as:
so plotting the point and
on a
.
- As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.
Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5
i.e. at x= -1.5, y = 0.5
- As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.
Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5
i.e. at x= 1.5, y = -0.5
Thus, graph 'B' represents the correct graph.
The correct graph is attached below.
