Question

A painter needs to find the area of the gable end of a house what is the area of the gable if it is a triangle with two sides of 42 feet that meet at 105 degrees angle? Round to the nearest square foot

Answer 1

*All credit goes to MandieH434926!

But for Acellus we have to round it to the nearest whole number, so it would be 852ft²!

Answer 2

Answer: 851.95 ft^2

The illustration of the painters area of a gable can be represented as follows :

From the illustrated diagram, we can calculate the Area of a gable end as follows :

`\begin{gathered} \text{Area = }(1)/(2)(a\cdot b)\text{ sin C } \\ \text{ = }(1)/(2)(42\cdot42)\text{ sin 105}\degree \\ \text{ = 851.95 ft}^2 \end{gathered}`Therefore , the area of a gable end of the house = 851.95ft^2