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Trigonometry Word Problem

a 7.5M Ladder is leaned up against a wall, what angle does the ladder make with the wall if the top of the ladder is 6.6m above the ground?

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Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
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When the top is 6.6 meters above the ground, the cosine of an angle the ladder makes with the wall is given by:
cos(θ)=6.6/7.5=0.88
 
θ=arccos(0.88)=28.36°