Question
17. In right triangle Delta ABC shown below, the given lengths are in millimeters .What is sinA A. (4sqrt (2))/(9) B. (4sqrt (2))/(7) C. (7sqrt (2))/(8) D. . (7)/(9) E. . (9)/(7)
Answer
4.1
(255 Votes)
Uriah
Professional · Tutor for 6 years
Answer
To find
in right triangle
, we need to identify the lengths of the sides relative to angle A. In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.Given:- AB =
mm (opposite side to angle A)- BC = 7 mm (adjacent side to angle A)- AC = 9 mm (hypotenuse)Since
is the ratio of the length of the side opposite to angle A to the length of the hypotenuse, we have:
Now we substitute the given lengths:
Therefore, the correct answer is:A.