A 15ft ladder leans against the side of a house. The top of the ladder is

13ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

A 15ft ladder leans against the side of a house The top of the ladder is 13ft off the ground Find x the angle of elevation of the ladder Round your answer to th class=

Respuesta :

Answer:

Angle x = 60.1 degrees

Step-by-step explanation:

Given : height of the ladder is 15 ft that is the hypotenuse

The top of the ladder is  13ft off the ground.

That is the oppposite side of angle x

Since this forms a right angle triangle we use trigonometric ratios to find x

We know the opposite side and the hypotenuse

sin(x) = opposite / hypotenuse

[tex]sin(x) = \frac{13}{15}[/tex]

[tex]x = sin^{-1}(\frac{13}{15})[/tex]

x= 60.073565

Angle x = 60.1 degrees


check the picture below.


make sure your calculator is in Degree mode.

Ver imagen jdoe0001