Find the indicated measure, to the nearest tenth. You are allowed to use a calculator. there is only one right answer choice 5. Problem 7.1.38 bA. 25.5 feet B. 5.5 feet C. 21.1 feet D. 11.8 feet E. 10.7 feet F. None of these **Problem 38:**A loading dock is 5 feet high. If a ramp makes an angle of 25° with the ground and is attached to the loading dock, how long is the ramp?To solve this problem, you can use trigonometry. The ramp forms the hypotenuse of a right triangle where:- The height of the loading dock (5 feet) is the opposite side.- The angle made with the ground is 25°.To find the length of the ramp (hypotenuse), use the sine function:\[\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\]So,\[\sin(25^\circ) = \frac{5}{\text{hypotenuse}}\]Rearranging gives:\[\text{hypotenuse} = \frac{5}{\sin(25^\circ)}\]Calculate the hypotenuse to find the length of the ramp. Remember to use a calculator set to degrees.

Answered: Image /qna-images/answer/08655788-c7f9-4622-ac66-46c657222c8a.jpg

Answered: 38. A loading dock is 5 feet high. If a…

38. A loading dock is 5 feet high. If a ramp makes an angle of 25 with the ground and is attached to the loading dock, how long is the ramp?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

Find the indicated measure, to the nearest
tenth.

You are allowed to use a calculator. there is only one right answer choice

5. Problem 7.1.38 b

A. 25.5 feet
B. 5.5 feet
C. 21.1 feet
D. 11.8 feet
E. 10.7 feet
F. None of these

**Problem 38:**

A loading dock is 5 feet high. If a ramp makes an angle of 25° with the ground and is attached to the loading dock, how long is the ramp?

To solve this problem, you can use trigonometry. The ramp forms the hypotenuse of a right triangle where:

- The height of the loading dock (5 feet) is the opposite side.
- The angle made with the ground is 25°.

To find the length of the ramp (hypotenuse), use the sine function:

\[
\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}
\]

So,

\[
\sin(25^\circ) = \frac{5}{\text{hypotenuse}}
\]

Rearranging gives:

\[
\text{hypotenuse} = \frac{5}{\sin(25^\circ)}
\]

Calculate the hypotenuse to find the length of the ramp. Remember to use a calculator set to degrees.

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