Question

Someone help me it’s due tm

Answer 1

Answer:

C

Step-by-step explanation:

The angle between the tangent and the radius at the point of contact is right.

Thus the triangle is right with hypotenuse = 3 + 8 = 11 ( 3 is the radius )

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 3² = 11², that is

x² + 9 = 121 ( subtract 9 from both sides )

x² = 112 ( take the square root of both sides )

x = $\sqrt{112}$ = $\sqrt{16(7)}$ = $\sqrt{16}$ × $\sqrt{7}$ = 4$\sqrt{7}$ → C