Based on the Right Triangle as shown above, solve for the following: a. Solve for b; knowns 246.06 ft. B = 77°54'40" %3D
Based on the Right Triangle as shown above, solve for the following: a. Solve for b; knowns 246.06 ft. B = 77°54'40" %3D
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Triangle Problem Solving Exercise**
Based on the right triangle as shown, solve for the following:
a. **Solve for b:**
- Known values:
- \(c = 246.06 \, \text{ft}\)
- \(B = 77^\circ 54' 40''\)
b. **Solve for c:**
- Known values:
- \(a = 191.04 \, \text{ft}\)
- \(A = 46^\circ 26' 25''\)
c. **Solve for B:**
- Known values:
- \(c = 239.62 \, \text{ft}\)
- \(a = 147.39 \, \text{ft}\)
d. **Solve for a:**
- Known values:
- \(B = 62^\circ 06' 35''\)
- \(b = 180.51 \, \text{ft}\)
e. **Solve for A:**
- Known values:
- \(a = 307.06 \, \text{ft}\)
- \(b = 260.83 \, \text{ft}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6010a0ae-7a62-4910-937d-5ce2ea4f371d%2F57faa53e-8507-49c0-8c69-c15113407478%2Fz3m980k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Triangle Problem Solving Exercise**
Based on the right triangle as shown, solve for the following:
a. **Solve for b:**
- Known values:
- \(c = 246.06 \, \text{ft}\)
- \(B = 77^\circ 54' 40''\)
b. **Solve for c:**
- Known values:
- \(a = 191.04 \, \text{ft}\)
- \(A = 46^\circ 26' 25''\)
c. **Solve for B:**
- Known values:
- \(c = 239.62 \, \text{ft}\)
- \(a = 147.39 \, \text{ft}\)
d. **Solve for a:**
- Known values:
- \(B = 62^\circ 06' 35''\)
- \(b = 180.51 \, \text{ft}\)
e. **Solve for A:**
- Known values:
- \(a = 307.06 \, \text{ft}\)
- \(b = 260.83 \, \text{ft}\)
![This image depicts a right triangle labeled △ABC. Here is a detailed explanation:
- **Vertices and Sides**:
- The triangle has three vertices labeled as A, B, and C.
- Side \( a \) is opposite vertex A and connects vertices B and C.
- Side \( b \) connects vertices A and C.
- Side \( c \) connects vertices A and B.
- **Angle**:
- The angle at vertex C is a right angle, marked as \( 90^\circ \).
- **Triangle Characteristics**:
- This is a right-angled triangle with the right angle located at vertex C.
- According to the Pythagorean theorem, for this right triangle, the relationship between the sides can be described as \( a^2 + b^2 = c^2 \), where:
- \( a \) and \( b \) are the legs of the triangle.
- \( c \) is the hypotenuse, which is the longest side of the triangle opposite the right angle.
This diagram can be used to study the properties of right triangles and understand trigonometric relationships.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6010a0ae-7a62-4910-937d-5ce2ea4f371d%2F57faa53e-8507-49c0-8c69-c15113407478%2Ft6zxzz.jpeg&w=3840&q=75)
Transcribed Image Text:This image depicts a right triangle labeled △ABC. Here is a detailed explanation:
- **Vertices and Sides**:
- The triangle has three vertices labeled as A, B, and C.
- Side \( a \) is opposite vertex A and connects vertices B and C.
- Side \( b \) connects vertices A and C.
- Side \( c \) connects vertices A and B.
- **Angle**:
- The angle at vertex C is a right angle, marked as \( 90^\circ \).
- **Triangle Characteristics**:
- This is a right-angled triangle with the right angle located at vertex C.
- According to the Pythagorean theorem, for this right triangle, the relationship between the sides can be described as \( a^2 + b^2 = c^2 \), where:
- \( a \) and \( b \) are the legs of the triangle.
- \( c \) is the hypotenuse, which is the longest side of the triangle opposite the right angle.
This diagram can be used to study the properties of right triangles and understand trigonometric relationships.
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