Find the measure of anglec in the following triangle

C = 58.88 degrees

Step-by-step explanation:

We can use the law of cosines to find the missing angle measurement

c^2 = a^2 +b^2 -2ab cosC

Rearranging and solving for cos C

2ab Cos C = a^2 +b^2 - c^2

Divide by 2ab

cos(C) =  a^2 + b^2 − c^2

                         2ab

Substituting what we know  a = 31 b = 21   c = 27

                            31^2 + 21^2 - 27^2

     cos C        =  

                             2(31)(21)

      cos C = .516897081

Take the inverse cos on each side

cos^-1 cos C = cos ^-1 (.516897081)

C = 58.88 degrees

Hence, the height of Jamal in dekameters is:

0.167 dam

Step-by-step explanation:

We are given that Jamal is 167 cm tall.

we are asked to find:

Which expression finds Jamal’s height in dekameters.

We will use the metric conversion for converting the unit centimeters to dekameters.

We know that 1 centimeter is equal to 0.001 dekameter.

i.e. 1 cm =0.001 dam.

Hence, the value of 167 cm is calculated as:

Hence, the height of Jamal in dekameters is:

0.167 dam