Question

A right triangle has leg lengths of 33 centimeters and 44 centimeters. What is \cos \ \thetacos θ where \thetaθ is the smallest angle of the triangle?

Answer 1

Where θ is the smallest angle of the right angle triangle, the value of cos θ is 0.8.

What is a right angle triangle?

A right angle triangle are triangle that has one of its angles as 90 degrees. The other angles can be found using trigonometric ratios.

The two legs of the triangle are 33 cm and 44 cm. The hypotenuse of a right angle triangle is the longest side. The other sides are called legs.

Therefore, cos θ can be express as follows:

cos θ  = adjacent / hypotenuse

h²= 33² + 44²

h = √3025

h = 55

hypotenuse = 55 cm

θ is the smallest angle

Therefore,

cos θ  = 44 / 55

cos θ  = 4 / 5

cos θ  = 0.8

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