Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet? Building A; it is around 16.35 feet taller than building B Building A; it is around 114.48 feet taller than building B Building B; it is around 16.35 feet taller than building A Building B; it is around 114.48 feet taller than building A

The correct option is:

Building B; it is around 16.35 feet taller than building A.

Step-by-step explanation:

Consult the diagram below where the first figure represent building A and second figure represents building B

For building A:

tan θ = Perpendicular / Base

tan 73° = Height of building A / 30

Height of building A = tan73 · 30

Height of building A = 98.13 ft

For building B:

tan θ = Perpendicular / Base

tan 73° = Height of building B / 35

Height of building A = tan73 · 35

Height of building A = 114.48 ft

Building B is taller

Difference in height = height of building B - height of building A

Difference in height = 114.48 - 98.13 = 116.35 feet

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.