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:
x=2/5 or
x=0.4
Step-by-step explanation:
Answer: 45°
Step-by-step explanation:
Angle a° is alternate with angle 45°
Therefore a°=45°
Pretty sure it’s y=(x-5)^2+7
From a reliable source, the ratio between the width and the length of the tennis court is equal to 5:12. We let x be the common factor of the given ratio such that the width is equal to 5x and the length is equal to 12x.
The perimeter of the figure is calculated through the equation,
P = 2L + 2W
where P is the perimeter, L is the length, and W is the width.
Substituting the derived expressions to the equation above.
228 = (2)(12x) + 2(5x)
x = 114/17
The width and length are calculated below.
Width = (5)(114/17) = 570/17 ft = 33.53 ft
Length = (12)(114/17) = 1368/17 ft = 80.47 ft
Thus, the dimensions are approximately 33.53 ft and 80.47 ft.
