Find the exact value of tan θ. A. √5
─
3

B. 3 √14
──
14

C. 3 √5
──
5

D. 2 √ 14

The answer is C.

Step-by-step explanation:

Recall SohCahToa, where

.

In the triangle, the opposite (to angle θ) is , while the adjacent is .

By substitution:

Simplify:

The answer is C.

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

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).