3/10 - 1/5=<br><br><br> Find the missing fraction.

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

Hello, Earthlings! Martian here! Need help with math, I'm new to this subject! You'll get 50 (B) coins for answering!

alekssr [168]

Answer:

answer is 10000

Step-by-step explanation:

THANK U AGAIN <33ewiudhuids

4 0

3 years ago

Rewrite the function in vertex form,y = (a - h)² + k, and identify the coordinates of the vertex and equation of axis of symmetr

Illusion [34]

Answer:

Rewrite the function in vertex form,y = (a - h)² + k, and identify the coordinates of the vertex and equation of axis of symmetry.Show Work y = -3x² - 24x - 50

Step-by-step explanation:

5 0

3 years ago

In the data set below, what is the mean absolute deviation? 43 25 43 30 55 10 81 If the answer is a decimal, round it to the nea

Fudgin [204]

Answer:

16.6

Step-by-step explanation:

5 0

3 years ago

How do I find x using my givens ?

Marianna [84]

All sides of a square are equal, so set the two equations equal to each other and solve.

5x - 8 = 3x + 14

2x - 8 = 14

2x = 22

x = 11

8 0

3 years ago

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3/10 - 1/5= Find the missing fraction.