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Answer :
To estimate the height of the tower, Andrew can use the concept of trigonometry. The height of the tower can be calculated by using the tangent of the angle formed by Andrew's lines of sight.
First, let's calculate the angle formed by Andrew's lines of sight. Since the lines of sight form a 90° angle with the ground, we know that the angle between them is also 90°.
Now, let's calculate the distance between Andrew and the base of the tower. Andrew is 42ft4in away from the base of the tower. We can convert this distance to feet by dividing the inches by 12:
42ft4in = 42.33 feet (rounded to two decimal places)
Next, we need to calculate the distance between Andrew's eye level and the ground. Andrew is 5ft tall, so the height of his eye level is 5ft from the ground.
Now, we can use the tangent function to calculate the height of the tower:
tan(angle) = height/distance
tan(90°) = height/(42.33 feet - 5 feet)
tan(90°) is undefined, since the tangent of 90° is infinite. However, we can use the fact that the tangent of an angle approaches infinity as the angle approaches 90°. Therefore, we can assume that the angle is very close to 90°, and use the tangent of a slightly smaller angle, such as 89.9°.
tan(89.9°) = height/(42.33 feet - 5 feet)
Solving for height, we get:
height = tan(89.9°) x (42.33 feet - 5 feet)
height = 237.85 feet (rounded to two decimal places)
Therefore, the height of the tower is approximately 237.85 feet to the nearest foot.
To know more about angle visit :-
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