The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree is?
Answer: 45 degree
Explanation
Let's denote the height of the tree as h and the length of the shadow as h (since they are equal).Step 1: Recall the tangent function
tan(θ) = opposite side (height of the tree) / adjacent side (length of the shadow)
tan(θ) = h / h
tan(θ) = 1
Step 2: Find the angle θ
θ = arctan(1)
θ = 45 degrees
This question appeared in
Past Papers (12 times)
ETEA 25 Years Past Papers Subject Wise (Solved) (2 times)
ETEA Past Papers (1 times)
KPK Teacher Past Papers SST PST CT TT PET (2 times)
PPSC 5 Years Past Papers Subject Wise (Solved with Details) (2 times)
PPSC Assistant Past Papers PDF (1 times)
PPSC Past Papers (2 times)
Secondary School Teacher SST Past Papers, Syllabus, Jobs (2 times)
This question appeared in
Subjects (2 times)
MATHS MCQS (2 times)
Related MCQs
- The ratio of the length of a rod and its shadow is 1: √3. The angle of elevation of the sun is _____?
- Ali is standing 10 meters away from a tree. The distance of his eyes from his feet is 1.5 meter. Given that the distance from his eyes to the top of the tree is 15 meters, find the height of the tree
- The height of a rod is 3 feet, whereas the length of its shadow is √3 feet. What is the angle between the ground and Sun at that time?
- A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be?
- He sat _____ the shadow of the tree.
- There are 8 mango trees in a straight line Distance between each tree is 3 meters. What is the distance between the first tree and the eighth tree?
- A tree is 7.5 centimetres high. What will its height in millimetres?
- If the angle of elevation of a tower from a distance of 100 metres from its foot is 60°, the height of the tower is _____?
- The angle of elevation of the top of a tower from a point 20m away from its base is 60 ∘ . The height of the tower is-
- The angle of elevation of the top of a tower from a point 20 m away from its base is 45 °. What is the height of the tower?