Chapter 13: Q50. (page 708)

The tailgate of a moving truck is $2 feet$ above the ground. The incline of the ramp used for loading truck is $15 °$ as shown. Find the length of the ramp to the nearest tenth of the foot.

Short Answer

Expert verified

The length of the ramp is $7.7 foot$ .

Step by step solution

Step 1. Write down the given information.

The tailgate of the moving truck is 2 feet above the ground as shown in figure. And the inclination of ramp used for loading the truck is $15 °$ .

Step 2. Calculation.

From the given, figure it can be interpreted that in triangle ABC $A B = 2 ft and C = 15 °$ . Therefore, by trigonometric ratios,

$\begin{matrix} \sin (C) = \frac{A B}{A C} \\ \sin (15 °) = \frac{2}{A C} \\ A C = 2 \csc (15 °) \\ A C = 7.7 foot \end{matrix}$

Step 3. Conclusion.

The length of the ramp is $7.7 foot$ .

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The tailgate of a moving truck is $2 feet$ above the ground. The incline of the ramp used for loading truck is $15 °$ as shown. Find the length of the ramp to the nearest tenth of the foot.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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The tailgate of a moving truck is 2feet above the ground. The incline of the ramp used for loading truck is 15° as shown. Find the length of the ramp to the nearest tenth of the foot.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Discrete Mathematics

Calculus

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

The tailgate of a moving truck is $2 feet$ above the ground. The incline of the ramp used for loading truck is $15 °$ as shown. Find the length of the ramp to the nearest tenth of the foot.