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 side panel is 146.4 ft²

What is area:

Area can be defined as the size of a surface. In other words it is defined as the space occupied by a shape.

Therefore, area of a triangle can be described as follows:

  • area = 1 / 2 bh

where

b = base

h = height

Using trigonometric ratio, let's find the height of the right angle triangle. Therefore,

sin 30° = opposite / hypotenuse

sin 30° = h / 26

cross multiply

h = 26 × 1 / 2

h = 13 ft

Let's find the base of the triangle using Pythagoras theorem. Therefore,

c² = a² + b²

where

c = hypotenuse

a and b are the other 2 legs.

Therefore,

26² - 13² = b²

b² = 676 - 169

b = √507

b = 22.5166604984 ft

Area of the side panel = 1 / 2 × 22.5166604984 × 13

Area of the side panel = 292.716586479 / 2

Area of the side panel = 146.35829324

Area of the side panel = 146.4 ft²

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