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3 years ago

If a bird is on the ground, 7 ft away from a 10 ft tall tree, then what is the angle (to the

Mathematics

1 answer:

iren2701 [21]3 years ago

4 0

Answer:

The angle is 55°

Step-by-step explanation:

To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:

we will use trigonometric ratio to find the angle

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite /adjacent

from the diagram below, opposite = 10 feet and adjacent = 7 feet

the best trig.ratio to use is tan

tanФ = opposite /adjacent

tanФ = 10 /7

tan Ф =1.42857

to get the value of Ф, we will take the tan⁻¹ of both-side

tan⁻¹ tan Ф = tan⁻¹ 1.42857

Ф= tan⁻¹ 1.42857

Ф≈55°

Therefore, the angle is 55°

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