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:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.
Its A, all y-values are less than -3x+5. also consider root by setting -3x+5=0
x=5/3 is positive so its the first one
