Q: How do you find the adjacent side of the angle of elevation of a right triangle if you have the angle of elevation and height?

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Two sides adjacent to a right angle.

The side of the triangle next to the angle is called the adjacent side.

Those are the triangle's "legs".

In a right angle triangle the adjacent angle is at the base of the hypotenuse and next to the right angle

the tangent of an angle is opposite over adjacent side of triangle

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Height will be h=base*tan(angle).

Angle of elevation: tangent angle = opposite/adjacent and by rearranging the given formula will help to solve the problem

By using the tangent ratio of: opposite/tangent angle = adjacent which is the base

Two sides adjacent to a right angle.

consider a right angle triangle ABC with AB is the base BC is the height , assume that BC is the height of the hillfind the length ABfind the angle BACuse the above equationBC= (tan BAC) * ABso BC is the height of the hill

Providing that the pole is on level ground you have the outline of a right angled triangle with an adjacent side of 92 ft (the shadow of the pole) and a opposite side of 60 ft (the height of the pole). To find the angle of elevation use the tangent ratio. Tangent = Opposite/Adjacent Tangent = 60/92 = 0.652173913 Tan-1(0.652173913) = 33.11134196 degrees Therefore the angle of elevation is 33o correct to two significant figures.

The side of the triangle next to the angle is called the adjacent side.

Those are the triangle's "legs".

In a right angle triangle the adjacent angle is at the base of the hypotenuse and next to the right angle

the tangent of an angle is opposite over adjacent side of triangle

Adjacent means next to. So you're asking what sides of a triangle are next to the right angle of a triangle. That would be the 2 shorter sides of the triangle or 'legs' of the triangle. The hypotenuse (which is the longest side of the triangle) is directly across from the right angle.

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