Question

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast

Answer 1

12 square inches.

Explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.

The area of the sail will be equal to area of triangle.

`\text{Area of triangle}=(1)/(2)(\text{Base}*\text{Height})`

`\text{Area of triangle}=(1)/(2)(4\text{ in}*6 \text{in})`

`\text{Area of triangle}=2\text{ in}* 6 \text{in})`

`\text{Area of triangle}=12 \text{ in}^2`

Therefore, the area of the sail is 12 square inches.