A person is standing \(40\) ft from a light post and can see the top of the light at a \(35^\circ\) angle of elevation. The pers
on’s eye level is \(5\) feet from the ground. What is the height of the lightpost to the nearest foot.
1 answer:
Answer:
The height of the lightpost is 33.008 feet
Step-by-step explanation:
Refer the attached figure
Distance between lamp post and person = AB = 40 feet
Height of person = BC = 5 feet
The angle of elevation = ∠DCE =35°
Height of light post = AD
AB=CE=40 feet
In ΔDCE
Height of light post = AD=DE+AE=28.008+5=33.008
Hence the height of the lightpost is 33.008 feet
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Answer:
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Step-by-step explanation:
Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.
.
Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle .
To calculate the central angle, use the arc length formula as follows.
Where is measured in radian.
Substituting the value,
Dividing both side by 120,
Reducing the fraction into lowest form by dividing numerator and denominator by 40.
Therefore value of central angle is , since angle is in radian
Now convert radian into degree by using following formula,
So multiplying with
to convert it into degree.
Simplifying,
So to nearest tenth,
All the answers are gotten using the lcm method
1.8/11
2.3/23
3.1/2
4.13/15
5.8/11
6.49/30
7.22/3
8.19/60
1.8/11
2.3/23
3.1/2
4.13/15
5.8/11
6.49/30
7.22/3
8.19/60