Question

A ladder is leaning against a building forming a 70° angle with the ground. The length of the ladder is 12 ft.

How far is the base of the ladder from the base of the building? Round your answer to the nearest tenth. Show
all work including a sketch of the triangle used.

Answer 1

Side a = 12

Side b = 11.27631

Side c = 4.10424

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 70° = 1.22173 rad = 7/18π

Angle ∠C = 20° = 0.34907 rad = π/9

Area = 23.14035

Perimeter p = 27.38055

Semiperimeter s = 13.69028

Height ha = 3.85673

Height hb = 4.10424

Height hc = 11.27631

Median ma = 6

Median mb = 6.97378

Median mc = 11.46152

Inradius r = 1.69028

Circumradius R = 6

Explanation: