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pav-90 [236]
3 years ago
12

A tree on a hillside casts a shadow 215 feet down the hill. If the angle of inclination of the hillside is 22 degrees to the hor

izontal and the angle of elevation of the sun is 52 degrees, find the height of the tree.
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

20

Step-by-step explanation:

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Find the length of DE. Round to the nearest hundredth. (Picture included)
LenKa [72]
Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA \bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}  =

which one has all that?  low and behold, is Ms Sine,
so let's bother Ms Sine

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode

8 0
3 years ago
Can someone explain please?
Paul [167]

Answer:

- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x

- $130 can travel 181.32 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.34 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.34 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.34 + $0.50x

Now, to determine how many miles 130$ can travel,

we will put C = $100, and determine x in the above equation

$130 = $39.34 + $0.50x

$130 - $39.34 = $0.50x

$90.66 = $0.50x

x = $90.66/$0.50

x = 181.32

Hence, $130 can travel 181.32 miles

7 0
3 years ago
Help QUICKLY, will offer brainliest for correct answer
FromTheMoon [43]

Answer:

48

Step-by-step explanation:

-2(1)^2(3(1)^2 – 7(1) + 10)

-2^2(3^2 – 7 + 10)

4(9 - 7 + 10)

4(12)

48

4 0
3 years ago
The diameter of a circle is equivalent to the
jasenka [17]

Answer:

Step-by-step explanation:

The diameter of a circle is twice the radius, so the statement is false.

6 0
2 years ago
Read 2 more answers
3<br> Solve for x. Round answer to the nearest tenth.<br> X<br> 759<br> 17
QveST [7]

Answer:

x ≈ 4.6

Step-by-step explanation:

Reference angle = 75°

Opposite side to reference angle = 17

Adjacent side = x

Applying TOA:

Tan 75 = opp/adj

Tan 75 = 17/x

Multiply both sides by x

x*Tan 75 = 17

Divide both sides by Tan 75

x = 17/Tan 75

x ≈ 4.6

7 0
3 years ago
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