Answer: 10.6 mm
<u>Step-by-step explanation:</u>
Perimeter (P) is the sum of the sides.
The trapezoid has 4 sides: the shorter base = 1.4mm
the longer base = 16.6mm
the left side = x
the right side = x
P = short base + long base + left side + right side
40.8 = 1.4 + 16.6 + x + x
40.8 = 18 + 2x
21.2 = 2x
10.6 = x
When the shadow is 30 meters long, the angle of the sun is 45°.
When the shadow is 51.96 meters long, the angle of the sun is arctan(30/51.96) = 30°
Answer:
x = 18
Step-by-step explanation:
Since that is a right angle, we know that the total degrees of the angle is 90 degrees.
1) Based off of that, you can form the equation: 3x + 2x = 90.
2) solve the equation for x. Combine like terms: 3x + 2x = 5x.
5x = 90
3) So now, divide both sides by 5. 90 / 5 = 18
x = 18
Therefore, the correct answer is x = 18.
