Question

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

Answer 1

261.307 m

Step-by-step explanation:

b = Base of triangle = 450 m

p = Perpendicular of the triangle

`\theta` = Angle of the triangle =
`30^(\circ)`

From trigonometry

`tan\theta=(p)/(b)`

`\Rightarrow p=btan\theta`

`\Rightarrow p=450* tan30`

`\Rightarrow p=259.807\ m`

Height of the building = 1.5+259.807 = 261.307 m