Question

Please help quick! Solve for the right triangle shown in the figure.

Answer 1

Explanation:

the answer is choice C .

Answer 2

Answer: option c.

Explanation:

To find AB you can use the Pythagorean Theorem:

`c^2=a^2+b^2`

Where "c" is the hypotenuse and "a" and "b" are the legs of the triangle.

In this case:

`c=AB\\a=BC=7.50mi\\b=AC=11.43mi`

Substituting values and solving for AB, we get:

`AB^2=(7.50mi)^2+(11.43mi)^2\\\\AB=√((7.50mi)^2+(11.43mi)^2)\\\\AB=13.7mi`

To find ∠B you can use the Arctangent. Then, this is:

`\angle B=arctan((11.43mi)/(7.50m))=56.7\°`

Since the sum of the interior angles of a triangle is 180 degrees, we know that the ∠A is:

`\angle A=180\°-56.7\°-90\°\\\\\angle A=33.3\°`