Find the measure of the smallest angle of the right triangle.
c= 90degree a= height
ac= 7 and cb = 11
a-32.5 degree
b-57.5 degree
c-13.0 degree
d-50.5 degree
my answer is a 32.5 degrees
correct
because you used pythagorean theorem to get the last side - 13 and then you used sine law to get the other angle - 57.5 degrees and then did 180-57.5-90 to get 32.5
To find the measure of the smallest angle in a right triangle, you need to use the properties of right triangles.
In a right triangle, the largest angle is always the right angle, which measures 90 degrees. The other two angles are acute angles, meaning they are less than 90 degrees.
Since you are given that side AC is 7 units and side CB is 11 units, you can use basic trigonometry to find the measures of angle A and angle B.
Using the tangent function, you can find the measure of angle A:
tan(A) = opposite/adjacent
tan(A) = AC/CB
tan(A) = 7/11
To find the actual measure of angle A, you can take the inverse tangent (or arctan) of both sides:
A = arctan(tan(A))
A = arctan(7/11)
Using a calculator, you can find that A is approximately 32.5 degrees.
Therefore, your answer is correct. The measure of the smallest angle in the right triangle is approximately 32.5 degrees. Answer choice A is correct.