In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?
Mathematics · High School · Tue Nov 03 2020
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At a right triangle angle, C measures 40 degrees. The hypotenuse of the triangle is 10in length. Then the approximate length of the side adjacent to angle C
By using the Pythagorean theorem
K^2=A^2+L^2
Given that=40°, K=10 and L=?
Taking that, sin (thita)= L/K
Sin(40°)= L/10
Sin (90°-60°)=L/10
In the first quadrant sin(90°-60°)= cos60°=½
Cos60°=L/10
½=L/10
L= 5 answer.