Answer:

Step-by-step explanation:
The <em>sine </em>of an angle in a right triangle is the ratio of the side <em>across</em> from the angle with the hypotenuse of the triangle (the <em>hypotenuse </em>is the side across from the right angle). In this case, the sine of angle A, shortened to
, is
.
<em>Cosine</em> is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So
. Notice that this ratio is the same as the ratio of the side <em>adjacent</em> to angle A (AB), to the hypotenuse.
The <em>tangent</em> is the ratio of the side opposite an angle to the side adjacent to it. Here,
. So, our trig ratios for this angle are

The answer to your question is C
Answer:
Option B. y = 2x; 20 feet
Step-by-step explanation:
1. Determination of the equation that represents the relationship.
Let y be the distance travelled.
Let x be the time taken.
Let K be the speed.
From the question given above, the following data were obtained:
Distance (y) = 80 ft
Time (x) = 40 s
Speed (k) =.?
Speed = Distance /time
K = y/x ......... (1)
K = 80/40
K = 2 ft/s
Substitute the value of k into equation 1
K = y/x
K = 2 ft/s
2 = y/x
Cross multiply
y = 2x
Therefore, the equation that represents the relationship is y = 2x
2. Determination of the distance travelled in 10 s.
Speed (k) = 2 ft/s
Time (x) = 10 s
Distance (y) =.?
y = 2x
y = 2 × 10
y = 20 ft
Therefore, the person will travel 20 feet in 10 seconds.
From the above calculations, the right answer to the question is
Option B. y = 2x; 20 feet
Answer:
D or A
Step-by-step explanation: