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A ladder 40 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the wall. What angle, θ, does the ladder make with the ground? (Round angle measure to the nearest degree.)

Respuesta :

The ladder makes 79.92 degrees of angle with the ground (Calculation: Cos A = 7/40 = 0.175 resulting A = ACos 0.175 = 79.92 degrees). This problem can be solved by using a simple trigonometry formula of Cosine which stated Cos A = Adjacent/Hypotenuse. The ladder length of 40 feet is the hypotenuse side of the triangle and the 7 feet distance between the ladder's foot and the wall is the adjacent side.

Answer:

[tex]\text{The angle }79.92^{\circ} \text{ the ladder make with the ground}[/tex]

Step-by-step explanation  

Given that a ladder 40 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the wall.

we have to find the angle θ the ladder make with the ground.

Length of ladder i.e AC=40 feet.

Distance of ladder from ground i.e BC=7 feet

By trigonometry formulas

[tex]\cos \theta=\frac{Base}{Hypotenuse}=\frac{7}{40}[/tex]

[tex]\theta = \cos^{-1}(\frac{7}{40})[/tex]

[tex]\theta=79.9213418922\sim 79.92^{\circ}[/tex]

[tex]\text{The angle }79.92^{\circ} \text{ the ladder make with the ground}[/tex]

       

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