The angle of elevation from the end of the shadow to the top of the man's head will be 34.077°.
<h3>What is a right-angle triangle?</h3>
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
A man who is 5feet 9inches tall casts a shadow of 8feet 6inches.
Assuming that the man is perpendicular to the ground.
5 ft 9 in = 69 in
8 ft 6 in = 102 in
Then the angle of elevation from the end of the shadow to the top of the man's head will be
tan θ = 69/102
θ = tan ⁻¹ (0.676)
θ = 34.077°.
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Answer:
15
Since 9 questions is 60% of the exam, you must find 100%. You could find the value of 10% by dividing 60 by 6. You do the same to 9, divide by 6 to get 1.5. Now that you have the value of 10% you can multiply 10% by 10 to get 100. You also do the same to 1.5. Your answer should be 15, if not check your work again.
Step-by-step explanation:
It is in the first quadrant
Since the slope-intercept form of a line is given by the expression:

Where, m is the slope and b is the y-intercept.
Then, for the function:

The slope is -2 and the y-intercept is (0, 3)