Someone please help me with this

9514 1404 393

  x = 39

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

  x² +80² = 89²

  x² = 89² -80² = 7921 -6400 = 1521

  x = √1521

  x = 39

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).