A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. Ho
1 answer:
The wire is attached to the pole at 18 root3 ft high.
We have given that,
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.
This is a right triangle formed of which hypotenuse is
h=36ft.
Angle is θ=60degree
Let P be the height of pole.
<h3>What is the value of the sin ratio?</h3>
then, sin60=P/H or root3/2=P/36
P=36√3/2
or
P=18√3ft.
The wire attached to the pole at P=18√3ft.
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Answer: The mat is 4.33 ft high off the ground.
Step-by-step explanation:
Since we have given that
Angle of elevation with the first triangle = 30°
Angle of elevation with the second triangle = 60°
Length at which gymnastics mat extends across the floor = 5 feet
so, As shown in the figure:
We need to find the height of the mat off the ground.
If CD = 5 ft,
Let, AB = y, DC = x.
In Δ ABC,
Similarly, in Δ ACD,
Hence, the mat is 4.33 ft high off the ground.
