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The angle of elevation from a point 30 feet from the base of a pole, of height h, as level ground to the top of the pole is 45o. Which equation can be used to find the height of the pole.
  • a)
    cos 45° = h/30
  • b)
    tan 45° = 30/h
  • c)
    tan 45° = h/30
  • d)
    sin 45° = h/30
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The angle of elevation from a point 30 feet from the base of a pole, o...
= h/30
b)sin 45 = h/30
c)tan 45 = h/30
d)sec 45 = h/30

Answer: b) sin 45 = h/30

Explanation:
The angle of elevation is the angle between the horizontal ground and the line of sight to the top of the pole. In this case, the angle of elevation is 45 degrees.

We can use the trigonometric ratio of sine to find the height of the pole. The sine of an angle is the ratio of the opposite side to the hypotenuse in a right triangle.

In this case, the opposite side is the height of the pole (h) and the hypotenuse is the distance from the point to the base of the pole (30 feet). Therefore, we have:

sin 45 = h/30

Solving for h, we get:

h = 30 sin 45

Using a calculator, we find that sin 45 is approximately 0.707. Therefore,

h = 30 x 0.707 = 21.21 feet

So the height of the pole is approximately 21.21 feet.
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The angle of elevation from a point 30 feet from the base of a pole, of height h, as level ground to the top of the pole is 45o. Which equation can be used to find the height of the pole.a)cos 45° = h/30b)tan 45° = 30/hc)tan 45° = h/30d)sin 45° = h/30Correct answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The angle of elevation from a point 30 feet from the base of a pole, of height h, as level ground to the top of the pole is 45o. Which equation can be used to find the height of the pole.a)cos 45° = h/30b)tan 45° = 30/hc)tan 45° = h/30d)sin 45° = h/30Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle of elevation from a point 30 feet from the base of a pole, of height h, as level ground to the top of the pole is 45o. Which equation can be used to find the height of the pole.a)cos 45° = h/30b)tan 45° = 30/hc)tan 45° = h/30d)sin 45° = h/30Correct answer is option 'C'. Can you explain this answer?.
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