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A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is?
Most Upvoted Answer
A pole 6m high caste a shadow 2√3m long on the ground,then the sun's e...
Given that the height of pole=AB= perpendicular of right triangle ABC =6m,
height of shadow= base of the right triangle ABC=BC=2√3m,
in right triangle ABC we know that
TanA=AB/BC,
Tan A=6/2√3=3/√3=√3,
TanA=√3=tan60,
A=60
height of shadow= base of the right triangle ABC=BC=2√3m,
in right triangle ABC we know that
TanA=AB/BC,
Tan A=6/2√3=3/√3=√3,
TanA=√3=tan60,
A=60
Community Answer
A pole 6m high caste a shadow 2√3m long on the ground,then the sun's e...
Given:
To find: Sun's elevation angle
Solution:
Final Answer: Sun's elevation angle is
- Pole height = 6m
- Shadow length = 2√3m
To find: Sun's elevation angle
Solution:
- Diagram: Draw a diagram as shown below:
- Triangle: From the diagram, we can form a triangle with the pole, the shadow, and the sun. Let's call this triangle PST.
- Angles: Let's label the angles of the triangle as shown below:
- Right angle: We know that angle PST is a right angle because the sun's rays are parallel to each other.
- Similar Triangles: Triangles PST and PQR are similar triangles because they have the same angles.
- Ratio: We can use the ratio of corresponding sides of similar triangles to find the length of QR.
- Calculation: Using the ratio of corresponding sides, we get:
- Triangle: Now, we can form a triangle PQR as shown below:
- Angle: We want to find the angle PQR, which is the sun's elevation angle.
- Tangent: We can use the tangent function to find the angle PQR.
- Inverse tangent: We can take the inverse tangent (or arctan) of both sides to find the angle PQR.
- Calculation: Using a calculator, we get:
- Answer: Therefore, the sun's elevation angle is 30°.
QR/PR = ST/PS
QR/6 = 2√3/PS
QR/6 = 2√3/PS
QR = 12/PS √3
QR = 4√3m
tan(PQR) = QR/PR
tan(PQR) = 4√3/6
tan(PQR) = √3/3
PQR = arctan(√3/3)
PQR = 30°
Final Answer: Sun's elevation angle is
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A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is?
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A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is?.
A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pole 6m high caste a shadow 2√3m long on the ground,then the sun's elevation is?.
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