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2 years ago

What is the measure of the angle?

Mathematics

1 answer:

AveGali [126]2 years ago

3 0

We know the full protractor measures 180 degrees.

We need to know what angle it is on. By looking at it, it looks like it is on 135.

180-135= 45

The angle is 45 <em>degrees.

I hope this helps!
~kaikers</em>

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Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.

zaharov [31]

$\\ \sf\longmapsto tan40=\dfrac{P}{430}$

$\\ \sf\longmapsto 0.83=\dfrac{P}{430}$

$\\ \sf\longmapsto P=430(0.83)$

$\\ \sf\longmapsto P\approx361m$

P=Height of tower

5 0

2 years ago

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The main hall of Grand Central Station in New York City is approximately 210,000 square feet.

jeka57 [31]

Answer:

52,500 persons

Assuming that a single person occupies 4 square feet of space.

Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City

Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person

Where

Total Space of Grand Central Station in New York City = 210,000 square feet

Space occupied by each person = 4 squaure feet

Placing values in the formula

Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

1.3125%

Use the following formula to calculate the percentage of people that could be sheltered in the station

Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100

Where

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

Total population in Manhattan = 4,000,000 persons

Placing values in the formula

Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%

8 0

2 years ago

Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) +

xxMikexx [17]

Answer:

3 h(x) = 4 sin(2x + π) + 3

Step-by-step explanation:

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2 years ago

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A baseball is thrown vertically upward at a rate of 65 feet per second from an initial height of 4 feet. Use the projectile form

Lapatulllka [165]

Answer:

At time t = 2.03 s height of ball = 93 feet

Step-by-step explanation:

We have h(t) = − 16 t² + v₀ t + h₀

A baseball is thrown vertically upward at a rate of 65 feet per second from an initial height of 4 feet.

Initial speed, v₀ = 65 ft/s

Initial height, h₀ = 4 ft

Substituting

h(t) = − 16 t² + 65 t + 4

Now we need to find time when h(t) = 93 ft

93 = − 16 t² + 65 t + 4

16 t² - 65 t + 89 = 0

t = 2.03 s or t = 2.03 s

At time t = 2.03 s height of ball = 93 feet

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2 years ago

9. You are standing on a mountain that is 6842 feet high. You are looking down at your campsite, creating an angle of depression

Mkey [24]

Answer:

Step-by-step explanation:

See the attached figure which represents the question.

Let the distance between campsite and the base of the mountain = d

The total height = 6842 + 5.6 = 6,847.6 feet.

As shown at the graph, the angle x and the depression angle are alternate angles, so they are congruent.

∴∠x = 38°

tan x = opposite/adjacent = (total height)/d = 6847.6/d

So, d = 6847.6/tan x

= 6847.6/tan 38° = 8,764.53 feet (to the nearest hundredth)

so, the distance between campsite and the base of the mountain = 8,764.53 feet

4 0

2 years ago