<h2>
Answer:</h2>
The height of the flagpole is: 12 ft.
<h2>
Step-by-step explanation:</h2>
Let the height of the flagpole be: x ft.
Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet
and one of the leg of the right triangle is: 16 feet
Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.
i.e.
![20^2=x^2+16^2\\\\i.e.\\\\400=x^2+256\\\\x^2=400-256\\\\x^2=144\\\\x=\pm 12](https://tex.z-dn.net/?f=20%5E2%3Dx%5E2%2B16%5E2%5C%5C%5C%5Ci.e.%5C%5C%5C%5C400%3Dx%5E2%2B256%5C%5C%5C%5Cx%5E2%3D400-256%5C%5C%5C%5Cx%5E2%3D144%5C%5C%5C%5Cx%3D%5Cpm%2012)
But the height can't be negative.
Hence, we get:
![x=12](https://tex.z-dn.net/?f=x%3D12)
Answer: 64
Step-by-step explanation:
By definition, a perfect square is the square of a whole number.
The information given in the problem that you must keep on mind is:
- The number has two digits.
- The number is a perfect square ( Is obtained by squaring a whole number).
- The sum of its two digits is 10.
The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:
![6+4=10](https://tex.z-dn.net/?f=6%2B4%3D10)
The number 64 can be written as:
![64=8*8=8^2](https://tex.z-dn.net/?f=64%3D8%2A8%3D8%5E2)
Then, it is perfect square.
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)
Answer:
the new position of a point, a line, a line segment, or a figure after a transformation
Step-by-step explanation:
The answer is 28m. You’re welcome; Brainliest would be appreciated though :)