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Viefleur [7K]
3 years ago
7

Use a trigonometric ratio to find the distance EF.

Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer:

The height of the building is approximately <u>73 m</u>.

Step-by-step explanation:

The triangle EFG is shown below.

Given:

Length of shadow of building is, FG=34\ m

Angle of inclination of Sun with the vertical is 25°.

Therefore, the angle of inclination of Sun with the horizontal is given as:

\angle G=90-25=65\°

Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,

\tan (\angle G)=\frac{EF}{FG}\\\tan 65\°=\frac{EF}{34}\\EF=34\times \tan 65\°=72.9\ m\approx 73\ m

Therefore, the height of the building is approximately 73 m.

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When the factors of a trinomial are (x+p) and (x-q) then the coeffcient of the x term in the trinomial is?
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The coefficient is:  "1" .
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          Note:  There is an "<u>implied coefficient</u>" of "1"; since "1",  multiplied by any value, is equal to that exact same value; by convention, we eliminate the "1" as a coefficient.
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Further explanation:
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(x+p)(x−q) = x² − xq + px − pq ;
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(x+p)(x−q) =  {using "FOIL" → "First, Outer, Inner, and Last" terms}:
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<u>F</u>irst:    x*x = x² ;

<u>O</u>uter: x*(-q)= -xq ;

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  (x + p)(x − q) = x² − xq + px − pq .
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4 0
3 years ago
To two decimal places,<br> √70<br> must lie between ____<br> and _____.
Verdich [7]

Answer:

between 8.36 and 8.37

Step-by-step explanation:

\sqrt{70} =8.3666

Hope this helps

3 0
2 years ago
Plz plz plz help me<br> its for math
skad [1K]
Letter C is the correct answer
7 0
2 years ago
An amusement park has a diameter of 1550 feet and has a circular walking path around the entire park If you walk around the park
elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
HELP PLEASEEE
jeka94

The exact circumference of the circle is 7 \frac{49}{150} k m

The approximate circumference of the circle is 7.33 k m

Explanation:

The diameter of the circle is 2 \frac{1}{3} \mathrm{km}

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

C=\pi d

Where C is the circumference , \pi is 3.14 and d=2 \frac{1}{3} \mathrm is the diameter of the circle.

The exact circumference of the circle is given by

\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}

Multiply both numerator and denominator by 100, we get,

C=\frac{2198}{300} \\C=\frac{1099}{150}

Converting \frac{1099}{150} into mixed fraction, we get,

C=7 \frac{49}{150}

Thus, the exact circumference of the circle is 7 \frac{49}{150} k m

The approximate value of the circumference can be determined by dividing the value \frac{1099}{150}

C=\frac{1099}{150}=7.327

C=7.33km

Thus, the approximate circumference of the circle is 7.33 k m

3 0
3 years ago
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