Angle Calculations | MCQs
-
A. 30 degree
-
B. 75 degree
-
C. 45 degree
-
D. 60 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
-
A. 90°
-
B. 60°
-
C. None of these
-
D. 45°
Explanation
In an isosceles triangle, two angles are equal. Given the base angles are 45° each.Let's find the third angle:
Third angle = 180° - (45° + 45°)
= 180° - 90°
= 90°
-
A. None of these
-
B. 30°
-
C. 60°
-
D. 45°
Explanation
Given:
|a · b| = 6√3
|a × b| = 6
The dot product is given by:
a · b = |a| |b| cos(θ)
The cross product is given by:
|a × b| = |a| |b| sin(θ)
The ratio of the magnitudes of the cross and dot products is:
|a × b| / |a · b| = tan(θ)
6 / 6√3 = 1/√3 = tan(θ)
θ = arctan(1/√3) = 30°
✅ Correct: 0 |
❌ Wrong: 0 |
📊 Total Attempted: 0
iamge
