A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 825 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 37.2°. The angle of elevation from sea level to the top of the lighthouse is 38.3°. Find the height of the lighthouse from the top of the cliff.Do not round any intermediate computations. Round your answer to the nearest tenth.Note that the figure below is not drawn to scale.**Diagram Explanation:**- The diagram displays a right triangle formed by the line of sight from the ship to the base of the lighthouse, and another right triangle from the ship to the top of the lighthouse.- The horizontal distance from the ship to the base of the lighthouse (adjacent side) is 825 meters.- The angle of elevation to the base of the lighthouse is 37.2°, and the angle of elevation to the top of the lighthouse is 38.3°.- The diagram includes the unknown height difference between the cliff's edge and the top of the lighthouse, which is what needs to be calculated.There is a text box to input the computed height of the lighthouse in meters, followed by buttons labeled "Explanation" and "Check" for further interaction.**Source:**© 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility

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Español A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 825 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 37.2°. The angle of elevation from sea level to the top of the lighthouse is 38.3°. Find the height of the lighthouse from the top of the clif. Do not round any intermediate computations. Round your answer to the nearest tenth. Note that the figure below is not drawn to scale. meters 38.3 37.2 825 meters

Español A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 825 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 37.2°. The angle of elevation from sea level to the top of the lighthouse is 38.3°. Find the height of the lighthouse from the top of the clif. Do not round any intermediate computations. Round your answer to the nearest tenth. Note that the figure below is not drawn to scale. meters 38.3 37.2 825 meters

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

A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 825 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 37.2°. The angle of elevation from sea level to the top of the lighthouse is 38.3°. Find the height of the lighthouse from the top of the cliff.

Do not round any intermediate computations. Round your answer to the nearest tenth.

Note that the figure below is not drawn to scale.

**Diagram Explanation:**

- The diagram displays a right triangle formed by the line of sight from the ship to the base of the lighthouse, and another right triangle from the ship to the top of the lighthouse.
- The horizontal distance from the ship to the base of the lighthouse (adjacent side) is 825 meters.
- The angle of elevation to the base of the lighthouse is 37.2°, and the angle of elevation to the top of the lighthouse is 38.3°.
- The diagram includes the unknown height difference between the cliff's edge and the top of the lighthouse, which is what needs to be calculated.

There is a text box to input the computed height of the lighthouse in meters, followed by buttons labeled "Explanation" and "Check" for further interaction.

**Source:**
© 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility

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