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Rashid [163]
3 years ago
13

A right triangle contains a 38° angle whose adjacent side measures 10 centimeters. What is the length of the hypotenuse, to the

nearest hundredth of a centimeter
Mathematics
1 answer:
True [87]3 years ago
7 0

Answer:

12.69 inches.

Step-by-step explanation:

Let h represent the length of the hypotenuse.

We have been given that a right triangle contains a 38° angle whose adjacent side measures 10 centimeters. We are asked to find the length of the hypotenuse.

We know that cosine relates adjacent side to hypotenuse of right triangle.

\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

\text{cos}(38^{\circ})=\frac{10}{h}

h=\frac{10}{\text{cos}(38^{\circ})}

h=\frac{10}{0.788010753607}

h=12.690182

Upon rounding to the nearest hundredth of a centimeter, we will get:

h\approx 12.69

Therefore, the length of the hypotenuse is approximately 12.69 inches.

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