How tall is a building that casts a 66-ft shadow when the angle of elevation of the sun is 29°?

36.58° ft

Step-by-step explanation

To solve this, you need to consider the complete visual as a triangle.

(Refer to the attached picture for better understanding)

We are assuming that the building  stands at an angle of 90° to the ground, making the triangle a right-angled triangle. We can apply the trignometric formula that links an angle to two sides: perpendicular, which is the height of the building (a) in this case, and base, the length of the shadow cast (b) by the building of known length.

tan(θ) = length of perpendicular (a) / length of base (b)

We are using this formula, as we know the values of the above mentioned sides of the triangle.

Solve:

tan(29°) = P / 66

0.554 x 66 = P

36.58 = P

sadsdda

step-by-step explanation:

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110