30 POINTS! Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangle is shown with one leg measuring 8 and another leg measuring 15. An angle across from the leg measuring 8 is marked x degrees.

Step-by-step explanation:

Since we are given the sides opposite and adjacent to our angle, we can use the tangent ratio:

Substitute:

Take the inverse tangent of both sides:

Use a calculator. So:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.