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2 years ago

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

Mathematics

2 answers:

docker41 [41]2 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]2 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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