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°.
More about the right-angle triangle link is given below.
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Answer:
The percentage decrease is 27%
Step-by-step explanation:
To find the percent decrease, first find the difference in the two costs.
$205,000 - $149,650 = $55,350
Now divide that number by the original cost.
$55,350/$205,000 = 27%
Answer:
38 units.
Step-by-step explanation:
4x + 6 = 
{midpoint theorem}
4x + 6 = 
4x + 6 = 2x + 22
4x -2x + 6 = 22
2x + 6 = 22
2x = 22 -6
2x = 16
x = 16/2
x = 8
Length of midsegment = 4x + 6 = 4*8 + 6
= 32 + 6
= 38
Answer:
3
+9x-30
Step-by-step explanation:
Multiply the three into each number
3+9x-30
Answer:
8 inches
Step-by-step explanation:
4/5 * 10/1 = 40/5 = 8inches
