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romanna [79]
3 years ago
15

A mountaintop is a height y above the level ground. A woman measures the angle of elevation of the

Physics
1 answer:
Kamila [148]3 years ago
7 0
Refer to the diagram shown below.
We want to find y in terms of d, φ and θ.

By definition,
tan (\theta) =  \frac{y}{x} \\\\ tan( \phi) = \frac{y}{x-d}

Therefore
y = x tan(θ)                   (1)
y = (x - d) tan(φ)           (2)

Equate (1) and (2).
(x - d) \, tan(\phi) = x \, tan(\theta) \\ x[tan(\phi) - tan(\theta)] = d \, tan(\phi) \\ x= \frac{d tan(\phi)}{tan(\phi)-tan(\theta)}

From (1), obtain the required expression for y.

Answer:
y= \frac{d \, tan(\phi) \, tan(\theta)}{tan(\phi)-tan(\theta)}

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1) There are many positive and negative aspects associated with nuclear power. Which is a negative aspect associated with nuclea
kherson [118]

Nuclear power emits radiation.

5 0
3 years ago
A small ferryboat is 4.70 m wide and 6.10 m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00 cm into t
geniusboy [140]

Answer:

   M = 1433.5 kg

Explanation:

This exercise is solved using the Archimedean principle, which states that the hydrostatic thrust is equal to the weight of the desalinated liquid,

              B = ρ g V

with the weight of the truck it is in equilibrium with the push, we use Newton's equilibrium condition

           Σ F = 0

           B-W = 0

           B = W

       body weight

           W = M g

the volume is

           V = l to h

           rho_liquid g (l to h) = M g

           M = rho_liquid l a h

           

we calculate

            M = 1000 4.7 6.10 0.05

           M = 1433.5 kg

6 0
4 years ago
1. A car is traveling at 36 m/s hits a tree and comes to rest in 0.05 seconds.
QveST [7]

Answer: a. -720m/s^2

b. Yes, airbags will deploy

Explanation:

The formula for acceleration is:

= (Final velocity - Initial velocity)/Time

Final velocity = 0m/s

Initial velocity = 36m/s

Time taken = 0.05s

= (Final velocity - Initial velocity)/Time

= (0 - 36)/0.05

= -36/0.05

= -720m/s^2.

Since it's negative, it shows that there was a deceleration.

2. Yes the airbag will deploy since the acceleration gotten is more than -600 m/s^2.

3 0
3 years ago
1. An electron travels 4.82 meters in 0.00360 seconds. What is its average speed?
vredina [299]

Answer:

speed =distance /time

speed =4.82/0.00360

speed =1338.8m/s

6 0
3 years ago
Change the following data into scientific notation.<br><br> 5 000 000 km
RoseWind [281]
To find out scientific notation, you want to make sure that number is less than 10. So do 5.000000, you don't rally need the zeros but I just want to make my point. So use 10^x meaning ten the whatever power adds zeros like 5.000000x10^6 meaning it is increasing it by six zeros moving it out of the decimals and letting become 5,000,000. 
8 0
3 years ago
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