The ladder

The ladder touch on a wall at a height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall?

Correct result:

b =  2.01 m

Solution:

a=7.5 m A=75 ∘  tan⁡A=ab  b=atan⁡A∘=atan⁡75∘ =7.5tan⁡75∘ =7.53.732051=2.01 ma=7.5 \ \text{m} \ \\ A=75 \ ^\circ \ \\ \ \\ \tan A=\dfrac{ a }{ b } \ \\ \ \\ b=\dfrac{ a }{ \tan A ^\circ }=\dfrac{ a }{ \tan 75^\circ \ }=\dfrac{ 7.5 }{ \tan 75^\circ \ }=\dfrac{ 7.5 }{ 3.732051 }=2.01 \ \text{m}

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