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blagie [28]
3 years ago
10

The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

\tan \: 24 \degree =  \frac{height \: of \: person}{length \: of \: the \: shadow}  \\  \\ 0.4452286853 =  \frac{1.82}{x}  \\  \\ x =  \frac{1.82}{0.4452286853}  \\  \\ x = 4.08778693 \: m \\ x = 4.09 \: m

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Komok [63]
Let volume of 4% solution = x and of 14% be y

them x + y = 65........(1)    also  using the actual weights of  salt:-

0.04x + 0.14y  =  65*0.06 = 3.9

multiplying the above equation by  -25 we have

-x - 3.5y = -97.5    adding this to equation (1)

--2.5y = -32.5
y= 13 

and x = 65 - 13 = 52

so we need 13 mls of the 14%,  and 52 mls of the 4% solution.
8 0
3 years ago
Eli works in an electronics repair shop. he earns 9 dollars an hour plus a bonus for each item her repairs.
Jobisdone [24]
The equation is
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3 0
3 years ago
Read 2 more answers
Please help this is the last problem I need
tangare [24]

Answer:

sin 54 = \frac{x}{14}

Step-by-step explanation:

sine = \frac{opposite}{hypotenuse}

Side z is the adjacent, since it is next to the angle you are solving for.

Side x is the opposite, since it is opposite the angle you are solving for.

The side measuring 14 is the hypotenuse, since it is across from the right angle.

sin 54 = \frac{x}{14}

8 0
3 years ago
A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2,4). It is translated 3 units down. What are it’s n
Sophie [7]

Answer:

see below

Step-by-step explanation:

translated 3 units down whic means -3 on the y

hence T1 (2,0), T2 (-4,-8), T3 (-2, 1)

3 0
3 years ago
A right triangle has an angle that measures 34 and the adjacent side measures 17. What is the length of the hypotenuse to the ne
Mashcka [7]

Answer:

20.5

Step-by-step explanation:

Let's label the vertices ABC as in the diagram below. Then

Data:

α = 34 °

β = 90 °

c = 17

Calculation:

cosα = AB/AC

Multiply each side by AC

ACcosα = AB

Divide each side by cosα

AC = AB/cosα = 17/cos34 ≈ 17/0.8290 ≈ 20.5

8 0
3 years ago
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