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Sagot :
Answer:
Part A)
Height = 19.3 feet
Part B)
Distance = 5.2 feet
Step-by-step explanation:
Part A)
Let ladder reaches upto the h height of the wall.
[tex] \therefore \sin \theta =\frac{h}{length\: of\: the \:ladder} [/tex]
[tex] \therefore \sin 75\degree =\frac{h}{20} [/tex]
[tex] \therefore 0.9659258263 =\frac{h}{20} [/tex]
[tex] \therefore 0.9659258263\times 20 = h [/tex]
[tex] \therefore 19.3185165 \: ft= h [/tex]
[tex] \therefore h = 19.3 \: ft= h [/tex]
Part B)
Let the distance from the wall to the base of the ladder be x feet.
[tex] \therefore \cos \theta =\frac{x}{length\: of\: the \:ladder} [/tex]
[tex] \therefore \cos 75\degree =\frac{x}{20} [/tex]
[tex] \therefore 0.2588190451 =\frac{x}{20} [/tex]
[tex] \therefore 0.2588190451\times 20 = x [/tex]
[tex] \therefore 5.1763809 \: ft= x [/tex]
[tex] \therefore x = 5.2 \: ft [/tex]
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