Question

Please answer this question now

Answer 1

Answer:

$r = 17.5$

Step-by-step explanation:

Given ∆TRS,

Where,

m < R = 105°

TR = s = 15

RS = t = 6

ST = r = ?

Find r using the Law of Cosines.

$r^2 = s^2 + t^2 - 2*s*t*cos(R)$

Plug in the values stated above into the formula

$r^2 = 15^2 + 6^2 - 2*15*6*cos(105)$

$r^2 = 225 + 36 - 180*(-0.2588)$

$r^2 = 261 + 46.584$

$r^2 = 307.584$

$r = \sqrt{307.584}$

$r = 17.5$ (to the nearest tenth)