A helicopter hovers 500 m above a long straight road. There is a truck to the left and right of the helicopter. The angles of de
1 answer:
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
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The area of a slice from smallest area to largest area is given by:
- Pizza 1 (32π in²).
- Pizza 2 (32.7π in²).
- Pizza 3 (36π in²).
The area of a circle can be defined as the total space occupied or region enclosed by a circle within its boundary, and in a two-dimensional plane.
<h3>How to calculate the area of a circle?</h3>Mathematically, the area of a circle is calculated by using this formula:
Area = πr²
<u>Where:</u>
r is the radius of a circle.
For Pizza 1, we have:
Area = π × 16²
Area = π × 256
Area = 256π in².
Area of a slice = 256π/8
Area of a slice = 32π in².
For Pizza 2, we have:
Area = π × 14²
Area = π × 196
Area = 196π in².
Area of a slice = 196π/6
Area of a slice = 32.7π in².
For Pizza 3, we have:
Area = π × 12²
Area = π × 144
Area = 144π in².
Area of a slice = 144π/4
Area of a slice = 36π in².
In conclusion, we can infer and logically deduce that the area of a slice from smallest area to largest area is given by:
- Pizza 1 (32π in²).
- Pizza 2 (32.7π in²).
- Pizza 3 (36π in²).
Read more on circle here: brainly.com/question/14478195
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Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
And the point is:
The standard form of equation of line is:
Converting the given equation into standard form
The distance of a point (x1,y1) from a line is given by the formula:
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
Hence,
The distance from point A to given line is: 2√5 or 4.472 units