Select the correct answer.
A triangular side panel for a roof has the dimensions shown.
60°
26 ft
30°
What is the approximate area, in square feet, of the side panél?
O A.
239
ОВ.
292.7
O c.
146.4
OD
119.5

Select the correct answer A triangular side panel for a roof has the dimensions shown 60 26 ft 30 What is the approximate area in square feet of the side panél class=

Respuesta :

The approximate area in square feet of the sides panel is 146.4 feet.

Area = 1 / 2 bh

where

b = base

h = height

Therefore, let's find the height and the base using trigonometric ratios.

sin 30 = opposite / hypotenuse

sin 30° = h / 26

cross multiply

h = 26 ×  1 / 2

h = 13 ft.

Let's find the base using Pythagoras theorem.

b² = 26² - 13²

b² = 676 - 169

b = √507

b = 22.5166604984

b = 22.52 ft

Area = 1 / 2 × 22.52 × 13

Area = 292.76 / 2

Area = 146.38 ≈ 146.4 ft


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