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ID: A
40. Thomas used a 2.6-m-long ramp to move furniture into a moving van. If the bottom of the ramp is $2.0 m$ from the back of the moving van, what is the angle between the ramp and the ground, to the nearest degree?

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Answer

Rounding to the nearest degree, we have: $x \approx 38^{\circ}$

Steps

Step 1 ：Let $x$ be the angle between the ramp and the ground. We can use the cosine formula to find the angle: $\cos x = \frac{a d j a c e n t}{h y p o t e n u s e}$

Step 2 ：In this case, the adjacent side is the distance from the bottom of the ramp to the back of the moving van, which is $2.0 m$ , and the hypotenuse is the length of the ramp, which is $2.6 m$ .

Step 3 ：Plugging these values into the cosine formula, we get: $\cos x = \frac{2.0}{2.6}$

Step 4 ：Now, we can use the inverse cosine function to find the angle $x$ : $x = \arccos (\frac{2.0}{2.6})$

Step 5 ：Calculating the angle, we get: $x \approx {38.21}^{\circ}$

Step 6 ：Rounding to the nearest degree, we have: $x \approx 38^{\circ}$

Name:ID: A40. Thomas used a 2.6-m-long ramp to move furniture into a moving van. If the bottom of the ramp is 2.0 m from the back of the moving van, what is the angle between the ramp and the ground, to the nearest degree?

Answer

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Name:
ID: A
40. Thomas used a 2.6-m-long ramp to move furniture into a moving van. If the bottom of the ramp is $2.0 m$ from the back of the moving van, what is the angle between the ramp and the ground, to the nearest degree?