Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house
<em>Let 'C' be the point of observation.</em>
Given CA= 16 ft
<em> From right angle triangle</em>
<em> </em>
x = 16 × cos 66°
x = 16 × 0.4067
x = 6.5077
<em> x = 6.5 ft</em>
<em>The length of the ladder = 6.5 ft</em>
