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3 years ago

Which statement is true

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

The first statement is true because 10 x 50 = 500

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From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

3 years ago

A runner finished his marathon in 180 minutes. A marathon is around 26 miles.

mash [69]

Answer:

I'd say 6.9 paces per mile.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The school collected money for sweatshirts. If 75 students bought sweatshirts and the total cost was $1,260, how much did each s

Aliun [14]

Answer:

16.08

Step-by-step explanation:

5 0

2 years ago

Does this table represent a function? Why or why not?

solniwko [45]

Answer:

Explanation:

Same x values cannot correspond to any y values. Also if u plotted the points, the vertical line test would fail.

3 0

3 years ago

it takes eddie 2 hours to shovel the snow from a driveway and sidewalk. brad can shovel the snow from a driveway and sidewalk in

Arada [10]

Answer:

The time required them working together to shovel the snow is T = 1.428 hours

Step-by-step explanation:

Given data

Time taken by first person to shovel the snow $T_1$ = 2 hours

Time taken by second person to shovel the snow $T_2$ = 5 hours

Time taken by both persons to shovel the snow

$\frac{1}{T} = \frac{T_1+T_2}{ (T_1) (T_2)}$

Put all the values in above equation we get

$\frac{1}{T} = \frac{2 +5}{(2)(5)}$

T = 1.428 hours

Therefore the time required them working together to shovel the snow is T = 1.428 hours

8 0

2 years ago