Question

HELP ME PLEASE
solve the right triangle

Answer 1

WX=3.6 units

m<W=
`{56.3}^(0)`

m<X=
`{33.7}^(0)`

Explanation:

We can calculate WX

using the Pythagorean theorem.

From the theorem !

`^(2) = ^(2)+^(2)`

From the question,WY=2 units and

XY=3 units.

Thus,by substitution we obtain

`^(2) ={2}^(2)+{3}^(2)`

We then simplify the right hand side of the equation

`WX^(2) =4 + 9`

`\implies ^(2) =13`

we then take the positive square root of both sides

`\implies \sqrt|WX| = √(13)`

`\implies |WX| = 3.6`

We can use the tan ratio to find for the angles.

`\tan(\theta) = (opposite)/(adjacent )`

To continue,

Let m<W=a

This implies that

`\tan(a) = (3)/(2)`

`\implies(a) = { \tan }^( - 1) ((3)/(2))`

`\implies(a) = {56.3}^(0)`

Let m<M=b

`\tan(b) = (2)/(3)`

`\implies(b) = { \tan }^( - 1) ((2)/(3))`

`\implies(b) = {33.7}^(0)`

Hence

m<W=
`{56.3}^(0)`

m<X=
`{33.7}^(0)`