two buildings are built 10m apart. *the angle of depression from the top of the shorter building (y) to the foot of the taller b
1 answer:
The height of the taller building is 18.6 meters
<h3>How to find the side of a right triangle?</h3>A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
Therefore, the height of the taller building is the sum of the height of the smaller building and upper part of the taller building.
tan 53 = opposite / adjacent
tan 53 = x / 10
cross multiply
x = 10 tan 53
x = 10 × 1.32704482162
x = 13.2704482162
x = 13.3 m
tan 28 = y / 10
y = 10 tan 28
y = 5.31709431661
y = 5.3
Therefore, the height of the taller building is 13.3 + 5.3 = 18.6 meters.
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Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let be the average life expectancy of its batteries.
As per given , we have
Null hypothesis :
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Since is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic :
where, n= sample size
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For , we have
Critical one-tailed test value for 0.10 significance level :
Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]