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elena-14-01-66 [18.8K]
3 years ago
15

(log, 4 +log, 16) - log, 2

Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

1.5051

Step-by-step explanation:

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A car is approaching a building. When it is 300 ft away, the angle of depression from the top of the building to the car is 42°.
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Answer: 333.2ft

Step-by-step explanation:

We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)

The height of the building is the other cathetus.

Now, we know that the angle of depression from the top of the building to the car is 42°

This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:

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Here we can use the relation:

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Then:

Tan(48°) = H/300ft

Tan(48°)*300ft = H = 333.2ft

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