4. An Egyptian pyramid has a square base and symmetrical sloping faces. The inclination of each sloping face is 53.1'. At a distance of 600 ft from the base, on level ground, the angle of inclination to the apex is 27.15'. Find the vertical height and the slant height of the pyramid and the width of the pyramid at its base. [use the angles in the problem statement, not those shown in the sketch]
4. An Egyptian pyramid has a square base and symmetrical sloping faces. The inclination of each sloping face is 53.1'. At a distance of 600 ft from the base, on level ground, the angle of inclination to the apex is 27.15'. Find the vertical height and the slant height of the pyramid and the width of the pyramid at its base. [use the angles in the problem statement, not those shown in the sketch]
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
![**Problem 4:**
An Egyptian pyramid has a square base and symmetrical sloping faces. The inclination of each sloping face is 53.1°. At a distance of 600 ft from the base, on level ground, the angle of inclination to the apex is 27.15°. Find the vertical height and the slant height of the pyramid and the width of the pyramid at its base.
[Use the angles in the problem statement, not those shown in the sketch]
**Diagram Explanation:**
The diagram shows a side view of the pyramid.
- **Right Triangle Configuration:**
- The pyramid is represented as a triangle with a dashed line indicating the height from the apex to the base.
- The overall triangle represents the pyramid with its apex at the top and the base grounded on the horizontal line.
- The horizontal line indicates a distance of 600 ft from the base and is parallel to the ground.
- **Angle Details:**
- The angle at the apex as viewed from a point 600 ft away is labeled as 27° 09', but this should be interpreted as 27.15° as per the problem statement.
- The angle of inclination of the sloping face is marked as 53° 07', but it should be interpreted as 53.1° as per the problem statement.
The task is to calculate:
1. The vertical height of the pyramid.
2. The slant height of the pyramid.
3. The width of the pyramid at its base.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6b70c34-e044-4376-aa23-4cdb751fc707%2Fa50b964d-63a2-4785-9e3b-0f9c9ad1f597%2Fw3c21y7_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 4:**
An Egyptian pyramid has a square base and symmetrical sloping faces. The inclination of each sloping face is 53.1°. At a distance of 600 ft from the base, on level ground, the angle of inclination to the apex is 27.15°. Find the vertical height and the slant height of the pyramid and the width of the pyramid at its base.
[Use the angles in the problem statement, not those shown in the sketch]
**Diagram Explanation:**
The diagram shows a side view of the pyramid.
- **Right Triangle Configuration:**
- The pyramid is represented as a triangle with a dashed line indicating the height from the apex to the base.
- The overall triangle represents the pyramid with its apex at the top and the base grounded on the horizontal line.
- The horizontal line indicates a distance of 600 ft from the base and is parallel to the ground.
- **Angle Details:**
- The angle at the apex as viewed from a point 600 ft away is labeled as 27° 09', but this should be interpreted as 27.15° as per the problem statement.
- The angle of inclination of the sloping face is marked as 53° 07', but it should be interpreted as 53.1° as per the problem statement.
The task is to calculate:
1. The vertical height of the pyramid.
2. The slant height of the pyramid.
3. The width of the pyramid at its base.
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