Question

A 98ft extension ladder rests the top of a hook and ladder truck with its base 11 from the ground. The angle of elevation 73 degrees. How high up on the building is the ladder?

Answer 1

To find the height up on the building where the ladder reaches, you can use trigonometry. Using the length of the ladder and the angle of elevation, you can find the height using the sine function.

Step-by-step explanation:

To find the height up on the building where the ladder reaches, we can use trigonometry. Since we know the length of the ladder (98ft) and the angle of elevation (73 degrees), we can use the sine function to find the height.

We can set up the equation as follows:

sin(73) = h/98

Solving for h, we get:

h = 98 * sin(73)

Calculating this, we find that the ladder reaches a height of approximately 93.39ft up on the building.

Answer 2

∴ The height of the end of the ladder is
`104.7178`

Step-by-step explanation:

Given,

The length
`98` feet and which is touch
`11` feet from the base and the angle of elevation
`73` degrees.

From the figure
`\bigtriangleup ABC` ;

`AC=98` feet ,
`CE=11` and
`\angle ACB=73` degree

Now from figure we have,

`Sin73=(AB)/(AC)`

Plug
`AC` value in above equation,

`Sin73=(AB)/(98)`

`AB=98* Sin73`

`AB=93.7178`

`BD=CE` ( from figure )

`BD=11`

Then,

`AD=AB+BD`

`AD=93.7178+11`

`AD=104.7178`

Then the height of the end of the ladder is
`104.7178`