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1. What trigonometric function can be used from the given picture above?
2. Give the trigonometric ratio.
3. A building is 50 ft high. At a distance away from the building, an observer notices that
the angle of elevation to the top of the building is 41°. To the nearest foot, how far is the
observer from the base of the building? Show your work. (Round your answer to the
nearest foot.)

1 What trigonometric function can be used from the given picture above 2 Give the trigonometric ratio 3 A building is 50 ft high At a distance away from the bu class=

Respuesta :

Bqre

Answer:

1. tan()

2. 50/x

3. 58 ft (approximately 57.52 ft)

Step-by-step explanation:

1. Since we're given an angle and the length of the side opposite to that angle, and we're looking to find the length of the side adjacent to that angle, we can use the function tan(). tan() is defined as the relationship between an angle and the ratio between the leg opposite to the angle and the leg adjacent to it.

2. The trigonometric ratio would be the same as written in the definition I wrote previously for the tan() function. This ratio would be 50/x.

3.

[tex]\tan(41) = \frac{50}x\\x\tan(41) = 50\\\\x = \frac{50}{\tan(41)} \approx 58 \text{ ft}[/tex]

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