Answer:
height of the building is 12.99 feet.
Step-by-step explanation:
given, try to analyse:
the height of the building is opposite to the angle 60° and given hypotenuse, the ladder of 15 feet long.
using sine rule:
[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]
[tex]sin(60) = \frac{opposite}{15}[/tex]
[tex]opposite = sin(60) *15[/tex]
[tex]opposite = 12.99feet[/tex]
Therefore the height of the building is 12.99 feet.
Answer:
The height of the building is the long leg. 12.99 foot
Step-by-step explanation:
The triangle is a 30° - 60° - 90°.
In this type of triangle the hypotenuse = the short leg × 2. (it is opposite the 30° angle). The Long leg = the short leg √3
hypotenuse is the length of the ladder.
[tex]hypotenuse = short leg (2)[/tex] [tex]long leg = short leg \sqrt{3}[/tex]
[tex]15 = short leg (2)[/tex] [tex]long leg = \frac{15}{2} \sqrt{3}[/tex]
[tex]\frac{15}{2} = short leg[/tex] [tex]long leg = 12.99[/tex]
[tex]7.5 = short leg[/tex]
The height of the building is the long leg. 12.99 foot
