Which of the following conditions assure that lines are AE and BD are perpendicular
1 answer:
You might be interested in
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:
If Nate paints the wall in 4 hours, it means that he can paint 1/4 of the wall every hour.
Similarly, if Jill paints the wall in 7 hours, it means that he can paint 1/7 of the wall in one hour.
So, together, they paint the following fraction of the wall in one hour:
.
At this rate, they need 28/11 hours to paint the whole wall, in fact, after that amount of time they paint
i.e. the whole wall