Answer:
1045.01 rounded to the nearest hundredth
Step-by-step explanation:
First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.
If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.
Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500
tan(60) = x/500
multiply both sides by 500 to isolate the x
tan(60) * 500 = x
x = 866.0254
Similarly, with side y, we can say that tan(20) = y/500 and
tan(20) * 500 = y
y= 181.9851
The distance between the two trucks can be shown as x+y, so x+y= 1045.01 rounded to the nearest hundredth
Well I do not see the figure but I will assume it is a triangle. there are 3 angles in a triangle. Those 3 angles add up to 180. Since we know this, you can use the equation
angle1 + angle2 + angle3 = 180
we have 2 of the angles so with a little algebra we can solve for the last angle like this
180 - angle1 - angle2 = angle3
plug in 2 angles
180 - 50 - 90 = angle3
So answer is
angle3 = 40 degrees
It is very important to look at all the details that are already given in the question. Only then the problem should be started for solving.
Initial population of Memphis = 350000
population of Memphis after 1 year = 406000
Then
Increase in population of Memphis in a year = 406000 - 350000
= 56000
Then
Percentage increase in the
population of Memphis in a year = (56000/350000) * 100
= (56 * 10)/35
= 560/35
= 16 percent
So there is a 16% increase in the population of Memphis in a year.
Answer:
i think this is the answer 289
Step-by-step explanation:
have a great day