A tree is growing such that its trunk forms a 98 degree angle with the ground. At a point 27 meters from the tree, the angle of
elevation to the top of the tree is 24 degrees. If a bug crawls from the base of the tree all the way to the top, how far has it gone? (i.e. how tall is the tree?)A. 46 metersB. 13 metersC. 54 metersD. 56 meters
1 answer:
Answer: option B is the correct answer
Step-by-step explanation:
The diagram of the tree is shown in the attached photo. The triangle ABC formed is not a right angle triangle. The last angle, angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles) in a triangle is 180). It becomes
C = 180-(98+24)= 180 -122
C = 58 degrees
To find the height of the tree, we would apply the sine rule
a/sinA = b/sin B = c/ sinC
We would apply b/sin B = c/ sinC
b/sin24 = 27/sin58
b/0.4067 = 27/0.8480
Cross-multiplying,
27 ×0.4067 = b × 0.8480
10.9809 = 0.8480b
b = 10.9809/0.8480 = 12.949
Approximately 13 meters
The bug crawls 13 meters from the base to the top of the tree
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Answer:
The probability that exactly 5 are unable to complete the race is 0.1047
Step-by-step explanation:
We are given that 25% of all who enters a race do not complete.
30 have entered.
what is the probability that exactly 5 are unable to complete the race?
So, We will use binomial
Formula :
p is the probability of success i.e. 25% = 0.25
q is the probability of failure = 1- p = 1-0.25 = 0.75
We are supposed to find the probability that exactly 5 are unable to complete the race
n = 30
r = 5
Hence the probability that exactly 5 are unable to complete the race is 0.1047