**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: Find four fundamental Pythagorean triangles with hypotenuse of 1885.

A: By using Pythagoras theorem A2 + B2 = C2 Hope you are asking this A2 + B2 = 1885

Q: Given the following regular pentagon, what is the length of the apothem, a? 1.8 A= 5.535 90° a

A: Let's find.

Q: 2. A monument is planned in the Commercial Zones. The monument's shadow is 25 meters long. If a…

A: Solution 2. To determine the height of the monument, we can use trigonometry. Let's consider the…

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: 1. The lateral edge of side 12 makes an angle of 30° with the base. What is altitude of the square…

Q: Given that α = 64◦ and c = 14.3cm in triangle ∆ABC with a right angle at vertex C, approximate the…

A: The sine rule says that asinα=bsinβ=csinγ, where a, b and c are the sides and α,β and γ are the…

Q: 5. A pilot is flying over a straight highway. He determines the angles of depression to two…

A: Draw the given diagram with addition name of some points and the elevation of the plane. Use the…

Q: 3. Find all the sides and angles in the triangles ABC and PQR, whose descriptions follow. Draw the…

Q: a) AABC given ZB = 61', ZC = 47, and b 7.2 cm b) APQR given ZQ = 108", p = 4.7 cm, and r= 6.8 cm c)…

A: Since you have asked multiple questions, according to our company guidelines we are supposed to…

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: 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: 6. The point (-12,-16) lies on the terminal arm (of length r) of an angle of rotation. Sketch the…

A: Given point is (-12,-16)

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: Solve the right triangle ABC with angle C = 90.0 deg, b = 32.2 ft andc = 51.3 ft Round appropriatelv…

A: We can use right angle triangle properties and law of sines to solve the triangle

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

Answer the problem with a complete step-by-step process or solution. A student on the third floor of a college school found that the angle of depression of a car 10 m from the base of the building is 20o45’. Find the height of the building.
6. Use the Law of Cosines to solve the triangle. a=20.2, B-80.75°, c=6.2. Draw a triangle that represents the problem. Show the known quantities on the triangle and use variables to indicate the unknown quantities 7. You are standing 40 meters from the base of a tree that is leaning 8" from the vertical away from you. The angle of elevation from your feet to the top of the tree is 20°. Draw a triangle that represents the problem. Show the known quantities on the triangle and use a variable to indicate the height of the tree. Write an equation mvolving the unknown height of the tree. Find the height of the tree.
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.
In Billy Jay Joe Bob's family, the birthday person always gets to cut the first piece of cake. Billy Jay is celebrating his birthday with both of his parents, his three brothers, and his girlfriend. He cuts his slice of cake with an 96° central angle. (The cake has a 10-inch radius) If the rest of the party equally shares the remaining portion of the cake, what is the approximate area that each one receives? Hint: How many people will be sharing the rest of the cake represented by the SHADED sector. Let pi = 3.14 and round your final answer to the nearest tenth. 10inches 96