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A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.

What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

3.9 in.
4.1 in.
22.7 in.
23.0 in.

Sagot :

leis100804

Answer:

4.1 from my own work.

Step-by-step explanation:

Sin(80)=4/h

*h               *h

Sin(80)*h=4

/Sin(80)   /Sin(80

H=4/Sin(80)

H=4.061706448

H=4.1

The length of the hypotenuse of the right angle triangle is 4.1 inches

Right triangle

A right triangle has one of it sides as 90 degrees. Trigonometric ratios can be use to find the side of the right triangles.

using trigonometric ratio,

sin ∅ = opposite / hypotenuse

Therefore,

∅= 80°

opposite = 4

Therefore,

sin 80° = 4 / h

h = 4 / sin 80°

h = 4 / 0.98480775301

h = 4.06170666618

h = 4.1 inches

learn more on right triangle here: https://brainly.com/question/2674280

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