Help please

42

Step-by-step explanation:

cos 100⁰ =( 25² + 30²-x²)/2×25×30

1500×cos100⁰-25²-30²= -x²

x² = -1500× cos 100⁰ +25²+30²

x² = -1500 × - 0.173 +625+900

x²= 259.5 +625+900

x²=1784.5

x=42.24

nearest to 10: 42

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.