When a 40-foot extension ladder is resting against a structure and is angled at the ground at a 52-degree angle, the height of the wall is 31.52 feet.
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides.
given
Length of ladder = 40 foot
Angle make by ladder with the ground = 52 degree
Let AB represent the length of ladder, AB = 40
Since, AOB is a right angle triangle,
for angle B = 52
Hypotenuse = 40, side opposite to angle 52 = OA
From the trigonometric ratio,
sin θ = opposite side / hypotenuse
θ = 52 , hypotenuse AB = 40 OA
sin52 = OA/AB
OA = ABsin52
OA = 40(sin52)
OA = 40 * 0.788
OA = 31.52
When a 40-foot extension ladder is resting against a structure and is angled at the ground at a 52-degree angle, the height of the wall is 31.52 feet.
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