Question

PQRS is a rectangle with a length of 10 inches and a width of 4 inches. What is the measurement of angle A, the angle formed by the diagonal PR and the base PQ?
21.8° 23.6° 66.4° 68.2°

Answer 1

Answer:

21.8°

Step-by-step explanation:

The two sides of the rectangle, 4 inches and 10 inches, make the legs of a right triangle that includes angle A.

The 4 inch side is opposite angle A and the 10 inch side is adjacent to angle A; this gives us the ratio for tangent:

$\tan{A}=\frac{4}{10}$

To find the value of angle A, take the inverse tangent of each side:

$\tan^{-1}{(\tan{A})}=\tan^{-1}{(\frac{4}{10})}\\\\A=21.8$

Answer 2

21.8 is the answer you're looking for bub. im taking the text right now