What is the angle of elevation between two buildings with different heights?

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To determine the angle of elevation between two buildings, one 16m tall and the other 9m tall, which are 8m apart, trigonometric functions like tangent should be used. The angle can be calculated using the formula tan(theta) = opposite/adjacent, where the height difference is the opposite side and the distance between buildings is the adjacent side. For the quadratic equation h = -6t² + 180t, the time at which the object reaches 1325m can be solved using the quadratic formula. Participants in the discussion emphasize the importance of showing work to clarify understanding and encourage problem-solving. Overall, the conversation highlights the application of basic math and trigonometry in solving real-world problems.
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1.Can anyone help please solve this. h=-6t2(squared)+180t at what time does the object reach 1325 m

2. there are 2 buldings 8m aparts, one is 16 m tall and the other one is 9m tall. find the angle of evelation of each side
 
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You need to show your work. What are you having problem with? These seem like straightforward questions.
 
xxl69 said:
1.Can anyone help please solve this. h=-6t2(squared)+180t at what time does the object reach 1325 m

Doesn't your textbook provide an example of a similar or related problem? You have two variables in your equation. If you know one of them, how can you determine the other?
 
The first part is simple maths.Use your quadratic formula knowledge to the maximum.
The next part is simple trigonometry.Use tan theta to feel comfortable. ;p
Show some work.A man without his own work, even though he may be genius, is a superstar without films at hand.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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