Question

In the applet above right triangle XYZ is drawn with a 23 degrees angle. for the right triangles with an angle of 23 degrees the ratio of the leg adjacent the 23 degrees angle compared to the hypotenuse is 0.92 if the leg adjacent to the 23 degrees angle has a length of 46 units, what is the length of the hypotenuse ?

Answer 1

50 ( nearest whole number)

Explanation:

Given from the question :

Ratio of Adjacent to hypotenus = 0.92

Length of Adjacent leg = 46 units

From trigonometry :

Ratio of adjacent to hypotenus is the cosine of the angle :

Hence,

Cos 23 = adjacent / hypotenus

Cos 23 = 46 / hypotenus

0.9205048 = 46/ hypotenus

Hypotenus = 46 / 0.9205048

Hypotenus = 49.97