Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:





Answer:
2 and 2/3
Step-by-step explanation:
To multiply fractions, all you have to do is multiply the numerators by the denominators and/or simplify opposite sides.
4/9 * 6 would be 4/9 * 6/1, which equals 4/3 * 2/1. 4*2 is 8 and 3*1 is 3, so the answer would be 8/3, which simplifies to 2 2/3.
Step-by-step explanation:
an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°
Answer:
-20 - (-20) = 0
Step-by-step explanation:
Since the problem starts with a negative number, you need to find out how many units from 0 it is. Since it is 20 units away from 0 in the negative direction, you need to add 20 in the positive direction to make it 0. Subtracting a negative number makes it positive. 2 negatives make a positive, so the problem is stated (rearranged) : 20 - 20 = 0.