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Angelica places an 8-foot ladder against a wall. The ladder is placed so that the angle of elevation is 70°. How far up the wall, in feet, does the ladder reach? Round to the nearest hundredth.

Respuesta :

The height of the ladder far up the wall to the nearest hundredth is 7.52 foot.

A right angle triangle is formed.

What is a right angle triangle?

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

The length of the ladder is the hypotenuse side of the triangle formed.

Therefore,

sin 70 = opposite / 8

cross multiply

opposite = 8 sin 70

opposite side = 8 × 0.93969262078

opposite side = 7.51754096629

opposite side = 7.52

learn more on right triangle here: https://brainly.com/question/10088535

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