A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?

Height is 5.3 inches.

Step-by-step explanation:

2* base + 2*height = 35.8

2*12.6 + 2h = 35.8

h = (35.8 - 2(12.6) / 2

= (35.8 - 25.2) /2

=  10.6 / 2

= 5.3 inches.

Step-by-step explanation:

The formula of a perimeter of a rectangle:

l - length

w - width

We have

Substitute:

      divide both sides by 2

      subtract 12.6 from both sides

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°