Find the lateral area and the surface area of the composite solid. Round your answers to the nearest hundredth.

A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of the shadow to the sun is 60°

madreJ [45]

Answer:

The length of the shadow is 3.17 feet .

Step-by-step explanation:

Given as :

The height of the person walking on street = H = 5'6''

∴ 12" = 1 '

So, 6" = $\dfrac{1}{12}$ × 6 = 0.5'

I.e H = 5.5 feet

The angle of elevation of from tip of shadow to sun = Ф = 60°

Let The length of the shadow = X feet

<u>Now, From figure</u>'

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

Or, Tan Ф = $\dfrac{\textrm AB}{\textrm AO}$

Or, Tan 60° = $\dfrac{\textrm H}{\textrm X}$

Or, Tan 60° = $\dfrac{\textrm 5.5 feet}{\textrm X}$

Or, 1.732 = $\dfrac{\textrm 5.5 feet}{\textrm X}$

Or, X = $\dfrac{\textrm 5.5 feet}{\textrm 1.732}$

∴ X = 3.17 feet

So, The length of the shadow = X = 3.17 feet

Hence, The length of the shadow is 3.17 feet . Answer

3 0

4 years ago

Experimental vs. Theoretical Probability:

liubo4ka [24]

Hello Nitagomez,

To start the numbers 1 through 6 are on a number cube.
Half of them are even, 2, 4, and 6.

So it makes sense that when you roll the cube 60 times, you should have 30 even numbers. The theoretical probability is 30.

A predication of 20 is 10 less than the expected value of 30.
10 out of 30 is 33%.

The predication is off by 33%, I would argue that it is not a very good prediction.

I hope this helps, Good luck!
MrEquation

6 0

3 years ago

Is my solution correct?

poizon [28]

Answer:

The area of the shaded sector is $51.2\pi \ units^{2}$