Concept explainers
To calculate the measure of the angle formed by the ranger and the top of the tree.
Answer to Problem 44PPS
Explanation of Solution
Given:
Height of the tree is 175 feet.
The distance from the base of the tree to the ranger is 400 feet.
Concept used:
Hypotenuse is the longest side of the right
Perpendicular is the line at an angle of
Base is the side of the right triangle on which the right angle stands.
Relationship between angles and the sides of the triangle is given by,
Calculation:
Let x be the angle formed by the ranger and the top of the tree.
Sketching the given situation,
Given that the height of the tree is 175 feet. The distance from the base of the tree to the ranger is 400 feet.
Substituting the values in the trigonometric ratio,
Conclusion:
The angle between the top of the tree and the ranger is
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