A line has a slope of 3/2. It passes through the point (4,5). Give the coordinates of three other points on this line
1 answer:
Well...The slop is the (Rise/Run) which means (change in y direction / change in x direction)....
Now, imagine if you catch the tip of the line and you move 3 steps in
y-direction..then you move 2 steps in the x-direction...this is what the slop means....
now the question gives you the point (4,5)=4(x coordinate) & 5(y coordinate)
so draw the x-y axis then
-put the point 4,5 on the graph
-move by the slop value (3 steps in y) then (2 steps in x)
-repeat this 3 times and every time ,record the (x,y) values that you get.
Now, imagine if you catch the tip of the line and you move 3 steps in
y-direction..then you move 2 steps in the x-direction...this is what the slop means....
now the question gives you the point (4,5)=4(x coordinate) & 5(y coordinate)
so draw the x-y axis then
-put the point 4,5 on the graph
-move by the slop value (3 steps in y) then (2 steps in x)
-repeat this 3 times and every time ,record the (x,y) values that you get.
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The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
So x = 29.0521°. Since x < 30°, it is a safe landing.