Answer:
64.5°
Step-by-step explanation:
angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.
tan theta = opposite/adjacent
angle = tan^-1(42/20)
angle = 64.5°
Answer: hope this helps
Step-by-step explanation:
Simplifying
1.17 + -0.07a + (-3.92a) = 0
Combine like terms: -0.07a + (-3.92a) = -3.99a
1.17 + -3.99a = 0
Solving
1.17 + -3.99a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-1.17' to each side of the equation.
1.17 + -1.17 + -3.99a = 0 + -1.17
Combine like terms: 1.17 + -1.17 = 0.00
0.00 + -3.99a = 0 + -1.17
-3.99a = 0 + -1.17
Combine like terms: 0 + -1.17 = -1.17
-3.99a = -1.17
Divide each side by '-3.99'.
a = 0.2932330827
Simplifying
a = 0.2932330827
Answer:
A = 70 mm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 
h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 10, b₁ = 10, b₂ = 4 , then
A = × 10 × (10 + 4) = 5 × 14 = 70 mm²
Remark
It is really hard to tell what the playground is. Is he running around 45 yards plus the circumference of part of the circle? Or is just the triangle? Since pi is mentioned, I'll take it to be 45 + part of the circumference, but the ambiguity makes it possible to be wrong.
Equation
Distance = 2* (280/360) * pi * r + 45
Givens
r = 35 yards
Solve
C = 2 * 3.14 * (280/360) * 35 + 45
C = 2 * 3.14 * (0.77777777) * 35 + 45
C = 6.28 * 35 * 0.777777 + 45
C = 170.9555556
Answer
C = the distance for 1 lap around the playground. David went around 3 times.
3*C = 3 * 170.95555556
3C = 512.8666667
The distance he went is 513 yards <<<< Answer
