We have the following diagram
First, we find the distance from Corey to the tree (x). We use the trigonometric tangent identity:
And solve for x:
So, x = 32.32 ft
Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, we find y:
This is y = 92.03 ft
We can know the distance Corey step back by subtracting both distances:
Answer: 59.71 ft
Answer:
The top one
Step-by-step explanation:
Because the weight that can be added would be equal to 1540.
Answer: B: the force on the car is greater than the force on the bug
Step-by-step explanation:
The force on the car is greater because it is travelling at a faster speed.
Let's use the point-slope formula...
<em>y-y1=m(x-x1)
</em>
<em>m is the slope.
</em>
<em>y--9=7(x--2)
</em>
<em>Subtracting a negative number is the same as adding a positive number...
</em>
<em>y+9=7(x+2)
</em>
<em>y+9=7x+14
</em>
<em>Let's subtract 9 from both sides...
</em>
<em>-9+y+9=7x+14-9
</em>
<em>y=7x+5
</em>
<em>The formula is now in the format of...
</em>
<em>y=mx+b
</em>
<em>This is known as slope-intercept.
</em>
<em>m is the slope.
</em>
<em>b is the y-intercept, the value of y when x=0.
</em>
<em>Standard formula is...
</em>
<em>Ax+By=C
</em>
<em>Neither A nor B equal zero.
</em>
<em>A is greater than zero.
</em>
<em>y=7x+5
</em>
<em>Let's move 7x to the left side of the equation. It becomes negative.
</em>
<em>-7x+y=5
</em>
<em>Let's multiply both sides by -1 to render A greater than zero.
</em>
<em>-1(-7x+y)=(5)(-1)
</em>
<u>7x-y=-5
</u>
<u>This is the equation in standard form.</u>
