Answer:3.677 miles
Step-by-step explanation:
First we have to know that the distance between two consecutive milestone is 1mile, I have attached a diagram representing the problem, point C being the point of the balloon and point A and point B being the points of the consecutive milestones
I labelled the horizontal length between the balloon and the first milestone x and the height of the balloon h
From the diagram, we use the tan rule for right angle triangles to find x and h
Tan22=h/x
Making her the subject of formula
h=xtan22 (1)
Similarly
Tan20=h/(x+1)
h=(x+1)tan20 (2)
Putting (1) and (2) together
We solve for x, and then input our value for in (1) to get the value for h, the solution is in the second picture I sent
Note: tan rule says the tan of an angle is equal to the opposite side of the triangle(side directly facing the angle) divided by the adjacent side of the triangle( side of the triangle the angle is resting on)
Angle of depression from C to B is also angle of elevation from B to C( alternate angle are equal)
Answer:
Step-by-step explanation:
9x is the product of x and 9.This product and 8 more have as result 6
9x + 8 =6
9x=-2
x= (-2/9)
9*(-2/9) +8 =6
(-18/9) +8 = 6
(-2)+8 =6
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Answer: m = 0
Step-by-step explanation: To solve this problem, we don't even have to use our slope formula. It's important to understand that when we have the same <em>y</em> coordinate in our first ordered pair and our second ordered pair, this means that the line will be flat or horizontal.
When a line is horizontal, it means the line has a slope of zero.
We use the variable <em>m</em> to represent slope.
So here, we can say that <em>m = 0</em>.
Answer: 89
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**
