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Paraphin [41]
3 years ago
5

You are standing 40 meters from the base of a tree that leans 8o away from you. The angle of elevation from you to the top of th

e tree is 20o. Find the slant height of the tree.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

the height of the tree is <em>15.49 m</em>

<em></em>

Step-by-step explanation:

Step 1:

From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:

∠ ATB  = 180° - 98° - 20°

∠ ATB = 62°

Step 2:

Therefore, using the law of sines, we can determine the height of the tree.

TB / sin(20°)  = 40 / sin(62°)

TB = 40 × (sin(20°) / sin(62°))

<em>TB = 15.49 m </em>

<em></em>

Therefore, the height of the tree is <em>15.49 m</em>

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Step-by-step explanation:

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3 years ago
Help please, tank u :)
elena-s [515]

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Let the width of the rectangle be x ft

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Area of the rectangle = 15 square ft

x(x + 2) = 15 \\  \\  {x}^{2}  + 2x = 15 \\  \\  {x}^{2}  + 2x - 15 = 0 \\  \\  {x}^{2}  + 5x - 3x - 15 = 0 \\  \\ x(x + 5) - 3(x + 5) = 0 \\  \\ (x + 5)(x - 3) = 0 \\  \\ x + 5 = 0 \: or \:  \: x - 3 = 0 \\  \\ x =  - 5  \:  \: or \:  \: x = 3 \\  \\  \because \: x \: can \: not \: be \:  - ve \\  \\  \therefore \: x = 3 \\   \\  \implies \: x + 2 = 3 + 2 = 5 \\  \\ perimeter \: of \: rectngle  \\ = 2(5 + 3)  \\  = 2 \times 5 \\  = 16 \: ft

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2 years ago
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A=l×w

13.42=lw

w=13.42/l

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Since you have found the value of the length you can find the value.of the width.

w =  \frac{13.42}{l}  \\ w =  \frac{13.42}{5.12}  \\ w = 2.62km

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3 years ago
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