a diagonal cut of length 2.85m is to be made on a rectangular wooden slab from one corner to the other. the front of the slab measures 1.94 m. calculate the angle with the front edge at which the carpenter needs to begin the cut. round the answer to one decimal place.
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We have a right triangle where one leg = 1.94 m and the hypotenuse = 2.85 m .
And...we can find the measure of angle a using the cosine.
cos a = adjacent / hypotenuse
cos a = 1.94 / 2.85
Take the arccosine of both sides.
a = arccos( 1.94 / 2.85 )
Put this into a calculator to get that.....
a ≈ 47.1°
We have a right triangle where one leg = 1.94 m and the hypotenuse = 2.85 m .
And...we can find the measure of angle a using the cosine.
cos a = adjacent / hypotenuse
cos a = 1.94 / 2.85
Take the arccosine of both sides.
a = arccos( 1.94 / 2.85 )
Put this into a calculator to get that.....
a ≈ 47.1°