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strojnjashka [21]
3 years ago
15

From a point on the ground 47 feet from the foot of a tree the angle of elevation is 35 degrees. find the hieght of the tree to

the nearest foot
Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

32.9

Step-by-step explanation:

literally just throw the numbers u do have into a right angle triangle calculator

the bottom right angle is 35 degrees and the bottom line of the triangle is 47 feet

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A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the
andriy [413]
Check the picture below.

\bf A=\cfrac{h(a+b)}{2}\quad 
\begin{cases}
A=20\\
a=6z-1\\
b=2z+3\\
h=z
\end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2}
\\\\\\
20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1)
\\\\\\
20=4z^2+z\implies 0=4z^2+z-20

\bf \qquad \qquad \textit{quadratic formula}\\\\
\begin{array}{llccll}
0=&{{ 4}}z^2&{{ +1}}x&{{ -20}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
z= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
\\\\\\
z=\cfrac{-1\pm\sqrt{1+320}}{8}\implies z=\cfrac{-1\pm\sqrt{321}}{8}\implies z\approx 
\begin{cases}
\boxed{2.1146}\\
-2.3646
\end{cases}

since the height is just a length unit, it can't be -2.3646.

4 0
3 years ago
Read 2 more answers
Find the volume of a pyramid with a square base, where the side length of the base is
ValentinkaMS [17]

Answer:

<h2>1529.4 m³</h2>

Step-by-step explanation:

Volume of a pyramid can be found by using the formula

v =  \frac{1}{3}  \times a \times h \\

a is the area of the base

h is the height

Since the base is a square we have

v =  \frac{1}{3}  \times  {15.3}^{2}  \times 19.6 \\  = 78.03 \times 19.6 \\  = 1529.388

We have the final answer as

<h3>1529.4 m³</h3>

Hope this helps you

3 0
3 years ago
A triangular face of the roof of the garage has two sides
aleksklad [387]

Answer:

The roof does form a right triangle.

Step-by-step explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now  (√186)^2 = (√93)^2 + (√93)^2

              186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.

5 0
2 years ago
What is 3/9 help!!!!!!
Ray Of Light [21]

The first one because .33 is not repeating .33 33 33  33 33 and .3 is .3 3 3 3 3 3

So that's why it's the first one.

                                         Hope this helps!

3 0
4 years ago
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Another 10 points cause i messed up
Elan Coil [88]

Answer:

thank you? i guess...

Step-by-step explanation:

5 0
3 years ago
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