contestada

When looking at the top of a building 450 m away, the angle between the top of the building and your eye level is 30°. If your eyes are 1.5 m above the ground, how tall is the building? ANSWER IN 3 DECIMALS (###.###) You might need to use your calculator's sin,cos or tan

Respuesta :

boffeemadrid

Answer:

261.307 m

Explanation:

b = Base of triangle = 450 m

p = Perpendicular of the triangle

[tex]\theta[/tex] = Angle of the triangle = [tex]30^{\circ}[/tex]

From trigonometry

[tex]tan\theta=\dfrac{p}{b}[/tex]

[tex]\Rightarrow p=btan\theta[/tex]

[tex]\Rightarrow p=450\times tan30[/tex]

[tex]\Rightarrow p=259.807\ m[/tex]

Height of the building = 1.5+259.807 = 261.307 m

Otras preguntas