right triangle with leg b=7.1 and opposite angle B=31.3. Using a calculator, determine the other angle and the remaining sides of the triangle. Express your answers using at least one decimal place.

Question

a=?

c=?

A=?

Answer 1

For this question you need to be familiar with Pythagorus theorem,

According to you question,

Opposite side or leg value (b)= 7.1

opposite angle (B)= 31.3

Adjacent angle (A) = ?

Hypotenuse value (c) =?

Base value (b)= ?

Using formula below ,

tan (B) = p/b

=> tan(31.3) = p/7.1

=>b= 7.1/ tan(31.3) = 11.67

since it is right angle triangle,

So remaining angle will be

A+B+90=180

=> A=90-31.3

=> A=58.7^o

here for c=

cos (31.3) = b/c

=> c = 11.67/(cos(31.3)) = 13.66