campbellronnell8 campbellronnell8
  • 20-01-2021
  • Mathematics
contestada

In ASTU, t = 96 cm, u = 98 cm and ZS=46°. Find the length of s, to the
nearest centimeter.

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 25-01-2021

Answer:

s = 76 cm

Step-by-step explanation:

Here, we want to find the value of s in the triangle STU

Since we have the other two sides and the angle facing the missing side, we can use cosine rule

Mathematically, that would be;

s^2 = t^2 + u^2 - 2tu Cos S

s^2 = 96^2 + 98^2 -2(98)(96) cos 46

s^2 = 5749.31

s = √(5749.31)

s = 75.82 which is approximately 76 cm

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