Step-by-step explanation:
Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.
tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)
∴tanθ=88/1532=0.0574
∴θ=tan−1(0.0574)=3.290(2dp)
Answer:
Present age of the car = 1.5 years and the tires are 0.5 years old.
Step-by-step explanation:
Let the present age of the car be x years and that of the tires be y years.
x = 3y
x = y + 1
3y = y + 1
2y = 1
y = 0.5.
x = 3*0.5 = 1.5.
The value of y in the triangle is 6°.
<h3>How to calculate the value of y in the triangle?</h3>
Firstly, it's important to note that a triangle has the total angles of 180°.
Based on the information, the triangle has interior angle measures of 11y, 10y + 10°, and 10y - 16º.
The value of y in the triangle will be illustrated thus:
11y + 10y + 10 + 10y - 16 = 180
31y - 6 = 180
31y = 180 + 6.
31y = 186
Divide.
y = 186 / 31
y = 6
The value of y is 6.
Learn more about triangles on:
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Answer:
50%
Step-by-step explanation:
The percentage of people between 20 and 37 years old.
From the attached box plot :
Number of people aged up to 20 marks the lower quartile of the distribution = lower 25%
Number of people aged up to 37 marks the upper quartile of the distribution = lower 75%
Hence, percentage number of people aged between 20 and 37 equals
Q3 - Q1 = 75% - 25% = 50%