contestada

A roofer sketches a diagram of a house on which he is working.
Based on the diagram, about how wide is the house?
28.5 ft.
37.4 ft.
42.9 ft.
56.2 ft.

A roofer sketches a diagram of a house on which he is working Based on the diagram about how wide is the house 285 ft 374 ft 429 ft 562 ft class=

Respuesta :

musiclover10045
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.
boffeemadrid

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

[tex]x^2=(40)^2+(26)^2-2(40)(26)cos65^{\circ}[/tex]

=[tex]1600+676-2080(0.422)[/tex]

=[tex]2276-877.76[/tex]

=[tex]1398.24[/tex]

Thus, [tex]x^2=1398.24[/tex]

⇒[tex]x=\sqrt{1398.24}[/tex]

⇒[tex]x=37.4 ft[/tex]

Therefore, the width of the house is 37.4 feet.

Otras preguntas