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°
Answer: 5. x=33, y= 33, z=114
Step-by-step explanation: the triangles and supplementary lines all add to 180, so find one of them, and use that one to find the others
Answer:
13
Step-by-step explanation:
2x+2-3x-15>0
-x+13>0
-x>0-13
x>-13/-1
x>13
Answer:
33 m/s
Step-by-step explanation:
120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s
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<em>Additional comment</em>
In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.
You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.
