Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step
1 answer:
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Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and 
. Now lets apply the Pythagorean theorem: 
, to find our hypotenuse:
Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call
.
Remember that
, so:
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle
:
We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.
Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call
Remember that
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle
We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.