The pilot of an airplane flying at an elevation of 5000 feet sights two towers that are 300 feet apart. If the angle of depression to the tower closer to him is 30, determine the angle of depression to the second tower.
Answers
Answer: 29.2 degree
Step-by-step explanation:
Given data:
Elevation of the pilot = 50,000 feet
Elevation of the two towers = 300 feet apart.
Depression of closer tower = 30
Solution:
The angle of depression to the second tower is x
tanx = 5000/(5000*√(3)+300)
x=29.2
Therefore the angle of depression of the second tower is at 29.2 degree
Answer:
29.2°
Step-by-step explanation:
From diagram (b)
Tan θ= opp/adj
Where θ = 30°
opp = 5000ft
adj = ?
tan 30° = 5000/x
x tan30° = 5000
x = 5000/tan 30
x = 5000/0.577
x = 8665.5ft
From diagram c
tan θ = opp/adj
Where θ = ?
opp = 5000
adj = 300+x
x= 8665.5
tan θ = 5000/300+8665.5
tan θ = 5000/8965.5
tan θ = 0.55769
θ = arch tan 0.55769
θ = 29.147
θ= 29.2°
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What is total?Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy something. In mathematics, you add numbers to get the total; the outcome is the total. The result of adding 8 and 8 is 16. A total is the sum of several numbers or the number of items in a group, as determined by addition or counting. Total is referred to as the total or overall sum. The final amount for dinner on a check serves as an illustration of a total.
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