As part of a science experiment, Giovanni measured the distance a caterpillar traveled over different time intervals. In the first trial, the caterpillar traveled 8/10 yard in 1/2 minute. What was the caterpillar’s speed in yards per minute?

A.
2/5 yard per minute

B.
5/8 yard per minute

C.
1 3/5 yards per minute
D. 2
1
2
yards per minute

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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