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A ladder 12 m long is propped up against a building at an angle of 15°. How far up the wall does the ladder go?

A Ladder 12 M Long Is Propped Up Against A Building At An Angle Of 15 How Far Up The Wall Does The Ladder Go class=

Answer :

ABIDEMIOKINGO

The ladder can go as far as 3.1m

Application of SOH CAH TOA

The given set up is. a triangle with the following parameters

Angle of elevation = 15 degrees

Hypotenuse = 12m

Required

Height of the building

Using the expression

sin theta = opp/hyp

sin 15 = h/12

h = 12sin15

h = 3.1m

Hence the ladder can go as far as 3.1m

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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