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Sliva [168]
4 years ago
6

A roofer sketches a diagram of a house on which he is working.

Mathematics
2 answers:
docker41 [41]4 years ago
4 0
Using the SSA formula:

X = SQRT ( 40^2 + 26^2 - 2*40*26*cos(65))

X = SQRT(2276 - 2080*cos(65))

X = SQRT(1396.954)

X = 37.37 = 37.4 ft.
pychu [463]4 years ago
3 0

Answer:

(B)37.4 feet

Step-by-step explanation:

From he given diagram, let width of the house be x, then using the cosine formula, we get

x^2=(40)^2+(26)^2-2(40)(26)cos65^{\circ}

=1600+676-2080(0.422)

=2276-877.76

=1398.24

Thus, x^2=1398.24

⇒x=\sqrt{1398.24}

⇒x=37.4 ft

Therefore, the width of the house is 37.4 feet.

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