Question

Find value of x. Round the length to the nearest tenth and angle measures to the nearest degrees.

Answer 1

since the triangle gives us information about one of the sides and an angle we can use the definitions of the trigonometric functions and the one that involves the side asked for.

the trigonometric function that involves the two sides of the triangle different from the hypotenuse is the tangent.

`\tan \theta=(op)/(ad)`

replace the information given in the triangle into the definition

`\tan (48)=(x)/(5)`

clear the equation for x

`5\cdot\tan (48)=x`

solve the product between the tan and the 5 side

`x\cong6.0006\approx6.00`