Which relationship in the triangle must be true? Triangle A B C is shown. Angle A C B is a right angle. The length of side C B i
s a, the length of side A C is b, and the length of side A B is c. Sin(B) = sin(A) sin(B) = cos(90 – B) cos(B) = sin(180 – B) cos(B) = cos(A)
2 answers:
Answer:
<h2>sin(B) = cos(90 – B)</h2>Step-by-step explanation:
In a right triangle, there are specific trigonometric relations called trigonometric reasons. In any right triangle like it's shown in the image attached, we have:
Now, the angle is actually equal to angle
, because angles
and
are complementary, they sum 90°. So, we have:
.
Then, from trigonometric reasons we have:
But,
So,
Hence,
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Answer:
The function that describes the height of the ball in time is .
Step-by-step explanation:
Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.
Hence, the kinematic formula for the height of the ball (), in feet, is described below:
(1)
Where:
- Initial height with respect to the ground, in feet.
- Initial velocity, in feet per second.
- Time, in seconds.
- Gravitational acceleration, in feet per square second.
If we know that ,
and
, then the function that describes the height of the ball in time is:
(2)