Hello there. To solve this question, we have to remember some properties about triangles.
Given the following triangle:
We want to determine its area.
For this, recall that for a triangle that were given two sides and an angle between them, the formula for its area is:
In this case, a = 2, b = 7 and θ = 88º, therefore we have
[tex]A=\dfrac{2\cdot7\cdot\sin(88^{\circ})}{2}=7\sin(88^{\circ})[/tex]
Using a calculator, we find that
[tex]A\approx7\cdot0.99939=6.99573\text{ ft}^2[/tex]
Or you can round it to the nearest integer, therefore
[tex]A=7\text{ ft}^2[/tex]
This is the area of this triangle.
