From the observation deck of a skyscraper, Harper measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If
1 answer:
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Data;
- Angle = 45 degree
- Observation deck (adjacent) = 1145 ft
- horizontal distance (opposite) = x
Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance
Substitute the values into the equation and solve
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Learn more on trigonometric ratio here;
You might be interested in
The value of alpha is 0.26, assuming a confidence level of 74%.
<h3>What is the margin of error?</h3>The significance level α is the probability of making the wrong decision when the null hypothesis is true.
Alpha levels which is also called as significance levels are used in hypothesis tests.
Given
When finding the margin of error for the mean of a normally distributed population from a sample.
The confidence interval = 74% = 0.74.
The value of the alpha is given by;
Substitute all the values in the formula
Hence, the value of alpha is 0.26, assuming a confidence level of 74%.
To know more about confidence interval click the link given below.