Question

The lengths of the diagonals of a rhombus are 2 in. and 5 in. find the measures of the angles of the rhombus to the nearest degree.

I really need to know how to do this can you please show me step by step. I want to learn how not just know the answer.

Answer 1

\[Let x be the \angle as shown.\]
\[\tan x=\frac{ 1 }{ 2.5 }=\frac{ 2 }{5 }=.4\]
find x from log tables and multiply by 2 ,we get an angle of rhombus.

Answer 2

so is .4 the angle of the rhombus??

Answer 3

\[x=\tan^{-1} .4\]

Answer 4

you have to see the angle from log tables of tangents