Question

What is the value of s to the nearest whole number?
a) 13
b) 12
c) 14
d) 10

Answer 1

B. 14

Explanation:

on edge got it right

Answer 2

Given:

In given Δ RST,

RS = 9, ST = 8 and ∠S = 110°

To find the value of another side RT (s).

Formula

By cosine law we get,

`a^(2) =b^(2) +c^(2) -2bc( cos(A))`

Now,

Putting,

b=9, c=8, A = 110° and a=s we get,

`s^(2)=9^(2) +8^(2) -2(9)(8)(cos110^\circ)`

or,
`s^(2) =81+64-2(9)(8)(-0.342)`

or,
`s^(2)= 194.248`

or,
`s = √(194.248)`

or,
`s = 13.93`

or,
`s=14`

Hence,

The value of s is 14. Option C.