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3 years ago

See image, finding the height of a triangle with law of sines

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

Answer:

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

Step-by-step explanation:

The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117

°.

angle TDE = 117°

angle DTE = 180° - 117° - 31° = 32°

DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491 = 0.52991926423TD

178.409189149 = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

TD = 336.672397461

TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

Using sin ratio

sin 63° = opposite/hypotenuse

sin 63° = h/336.67

cross multiply

h = 336.67 × 0.89100652418

h = 299.975166498

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

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fenix001 [56]

Answers

Explanation

So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this

8x-4y=12
-8x. -8x

-4y=-8x+12
/-4. /-4

Y=2x-3

So now that we have the equation in Y=Mx+b. The problem still isn’t done because it’s asking us to set up an equation that’s perpendicular. Which means the slope becomes the opposite

So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.

So now that the perpendicular line is

Y=-1/2x or y=-1/2x +0

I hope I explain this well!

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3 years ago

= Initial Knowledge Check Rewrite the expression by factoring out (y+9). 3y^2 (y + 9) + 7(y+9)

alex41 [277]

Answer:

$3y {}^{2} (y + 9) + 7(y + 9) \\ = (y + 9)(3y { }^{2} + 7)$

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3 years ago

1. What is the most precise name for quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), and D(5,2)?

zaharov [31]

The first one is B because of the first attachment. The second one is A because of the second attachment. The third one is C because of the expression used to solve for sum of angles:
(n-2)180
(8-2)180
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3 years ago

Read 2 more answers

The figures are similar. Find the missing length.

saw5 [17]

Step-by-step explanation:

<h2>Answer:-</h2><h3>Given ,</h3>

The figure is Similar.

Observation:-

Similar figures have similar sides. If we see carefully in smaller triangle, 3 has been added to each side and they are similar. We need to find y.

We have :-

5+3=8 as similar sides.

So, applying same algorithm,

$y + 3 = 5$