Question

Anthony leans a 28-foot ladder against a wall so that it forms an angle of 76^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Answer 1

Given Angle = 76° (The Angle in Pic is incorrect kindly ignore)

Hypotenuse= 28

Assuming Adjacent Side = X

To Find

Base of ladder

So,

Cos 76 =$\frac {\bold{adjacent \: side}}{\bold{hypotenuse}}$

$0.2419 = \frac{x}{28}$

$x = 0.2419 \times 28 \\ \\ x = 6.7732$

Rounding off to the nearest tenth= 6.8ft

Hope This Helps

Answer 2

Answer:

Step-by-step explanation:

$Cos \ 76 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.2419=\dfrac{x}{28}\\\\\\0.2419*28=x\\\\\\x=6.7732$

x =6.8 ft