The legs of a right triangle measure 5 inches and 7 inches. If theta is the angle between the 5-inch leg and the hypotenuse, sin theta=_____.
A. .71
B. .81
C. .07
D. .58
guys i got it wrong on apex but the answer is .58
ur welcome bitxhese
To find the value of sin theta, we need to use the given information about the legs of the right triangle.
We have the lengths of two sides of the right triangle: the 5-inch leg and the 7-inch leg. Let's define the legs as follows:
Opposite side: The side opposite to theta is the 5-inch leg.
Hypotenuse: The hypotenuse is the side opposite to the right angle.
Using the given information, we can use the sine function to determine sin theta. The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
sin theta = opposite/hypotenuse
In this case, sin theta = 5/7 (opposite/hypotenuse).
Therefore, sin theta = 5/7.
To find the decimal value, divide 5 by 7:
sin theta ≈ 0.7142857
The closest option to this decimal is A. .71.
So, the answer is A. .71.
I have no idea to even know how to start it.
Tell me where you are running into problems with this basic trig problem.
To be successful in studying this topic your MUST be able to do this question.
Review your trig function definitions. For this triangle,
tanθ = 7/5