Question

In ΔOPQ, o = 1.2 inches, p = 3.2 inches and ∠Q=37°. Find the area of ΔOPQ, to the nearest 10th of a square inch.

Answer 1

The answer is Q = 17

Answer 2

To find the area of ΔOPQ, we can use the formula A = 1/2 (op)(sinQ). Plugging in the values given, the area is approximately 2.19 square inches, rounded to 2.2.

Step-by-step explanation:

To find the area of a triangle, we can use the formula A = 1/2(base)(height). In this case, the base of the triangle is the side p, and the height can be found by using the side o and the angle Q. We can use the formula:

A = 1/2 (op)(sinQ)

Plugging in the values given, we get:

A = 1/2 (3.2)(1.2)(sin37°)

Calculating the value gives us approximately 2.19 square inches. Rounding to the nearest 10th, the area of ΔOPQ is 2.2 square inches.