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tigry1 [53]
3 years ago
7

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 th

e ladder make with the ground? (Round angle measure to the nearest degree.)

Mathematics
2 answers:
3241004551 [841]3 years ago
8 0

Answer:

\text{The angle }79.92^{\circ} \text{ the ladder make with the ground}

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

\cos \theta=\frac{Base}{Hypotenuse}=\frac{7}{40}

\theta = \cos^{-1}(\frac{7}{40})

\theta=79.9213418922\sim 79.92^{\circ}

\text{The angle }79.92^{\circ} \text{ the ladder make with the ground}

       

Pachacha [2.7K]3 years ago
3 0
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<span>. </span>
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