24 foot wire is tied from a stake in the ground to the top of flagpole. If the angle elevation from the stake to the top of the flagpole is 53 degrees how far is the stake from the base of the flagpole? Round to the nearest tenth

Respuesta :

Answer:14.44 ft

Step-by-step explanation:

Given

Length  of wire [tex]l=24\ ft[/tex]

Angle of elevation [tex]53^{\circ}[/tex]

from the figure

[tex]\Rightarrow \cos 53=\dfrac{b}{24}\\\\\Rightarrow b=24\cos 53=14.44\ ft[/tex]

Ver imagen nuuk

The answer is,  [tex]14.44 ft[/tex]

Definition of angle of evevation:

The angle between the horizontal and a line of sight from the observer to a place of interest that is "upwards."

An Angle of Depression occurs when the angle moves "downwards."

Given,

Wire's length [tex]l=24ft[/tex]

The elevation angle [tex]53^{0}[/tex]

[tex]cos 53= \frac{b}{24} \\b=24 cos53\\=14.44ft[/tex]

Learn more about angle of elevation here, https://brainly.com/question/88158

#SPJ2

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE