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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?

User Sherdim
by
7.3k points

2 Answers

6 votes

Final answer:

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.

User Jonasnas
by
8.3k points
0 votes

Answer:

∴ 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

A 98ft extension ladder rests the top of a hook and ladder truck with its base 11 from-example-1
User Benjaminjsanders
by
6.8k points