**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.

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°.

See similar textbooks

Related questions

Q: . At what angle must be a 5 meters ladder leans on a wall 4.5 meters high to reach its topmost? 2.…

Q: 3. From the top of a 250-ft lighthouse, the angle of depression to a ship in the ocean is 60°. The…

A: a. the diagram representing the given problem situation is,

Q: The points C and D lies on the level ground in the same vertical plane with the tip B of the tower…

A: Here we have to solve the question by using similarity of triangle theorem. Given AB=300 ft, A1B1=…

Q: A radio tower, DC, has a support wire 113 feet in length attached to the top at point C and to the…

A: 2. The radio tower DC have C at its top. The length CA=113 feet, length BA=20 feet. Also, the angle…

Q: A poster of height 34 in. is mounted on a wall so that its lower edge is 10 in. above the eye level…

Q: A bird watcher is gazing at tree canopies in California’s redwood forests. The bird watcher spots…

A: The problem can be illustrated with a diagram as follows: From the ∆ABE, sinθ=hss=hsinθ ⋯⋯(1)…

Q: An asymmetric pyramid has a base in the shape of a kite, with the longer sides of the base measuring…

Q: 2. Greg is standing at the back of a train that is 270 m long. He sees a water tower ahead to the…

A: Given- Length of the train =270m ∠G=48∘ The conductor is 215 m away from the water tower. Here g=215…

Q: 3. A 6 foot ladder is to be placed against a wall at an angle of elevation of 65°. How far should…

A: length of ladder = 6 foot angle of elevation = 65 Form a triangle :

Q: 4. Standing on a level road 50 feet from the base of a billboard, the angle of inclination to the…

Q: 5. An airplane over the pacific sights a ship at an angle of depression is 5°. At this time, the…

A: From the given details, Tangent is defined as the ratio of the…

Q: 1. How long is the ladder which makes an angle of 300 with the side of the house and whose foot is…

Q: A moving truck uses a 15-foot ramp for unloading. When the ramp is fully extended, the distance…

A: The problem describes a right triangle, where the ramp is the hypotenuse, the distance between the…

Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

Q: It is desired to determine the height of a flagpole. Assuming that the ground is level, an…

A: To find: We have to find how tall is the flagpole from its base i.e., the height of the flagpole.

Q: A tree standing vertically on a hill which is inclined at angle of 11 degrees with horizontal, cast…

Q: 8. If radius OC1 chord AB at D, AB=16 cm and OB =12 cm, find the distance of chord AB from the…

Q: 2. An alligator at the local zoo has a lower jaw that is 74 cm long and an upper jaw of 80 cm in…

Q: player is

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Round all MIDDLE-STEP calculations to 2 decimal places. Round your final angles to the nearest degree and FINAL side lengths to the nearest tenth. Show all work of proper mathematical form. a) Aaron, Jamie, and Luba are playing catch. Aaron is standing 50ft from Jamie and 75 ft from Luba. If the angle at Luba is 29°, determine how far apart Luba and Jamie are standing. Include a well-labeled diagram
A man looks out of a window of a building and observes an object on the ground with an angleof depression of 60°. His eye level is 20 feet from the horizontal ground. How far is the object fromthe base of the building? requirements: draw the illustration correctly and provide a precise and logical solution of the problem.
A symmetric pyramidal tower needs a portion of its top layer repaired. The angle at which the tower meets the ground is 45°. The height of the tower is 82 meters. A piece that is 2 meters wide is to be repaired along the entire side of the tower. What is the approximate area to be repaired? Note that the image is not drawn to scale. to be repaired 82 m 2 m 45° Given the information provided in the question, is the most convenient to use. The area to be repaired is square meters.
Please help!!