NOTE; this is NOT my answer. I dont know how to do this problem, but i thought this would help you.
Man's height IS TO Man's shadow AS Tree's height IS TO Tree's shadow
Let the tree's height be x. Then we have
6 IS TO 4 AS x IS TO 18
Replace the "IS TO"'s by " / " and the "AS" by " = "
6/4 = x/18
Cross multiply:
4x = 6(18)
4x = 108
x = 27 feet
basically the tree is 27 feet
Answer:
<h2>w=2</h2>
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
34/37 is around 91
See the attached picture to better understand the problem
we know that
in the right triangle ABC
tan 68°=opposite side angle 68/adjacent side angle 68
opposite side angle 68=AB----- height of the tree
adjacent side angle 68=BC-----> 14.3 m
so
tan 68=AB/BC-----> solve for AB
AB=BC*tan 68-----> AB=14.3*tan 68------> AB=35.39 m------> AB=35.4 m
the answer isthe height of the tree is 35.4 m
The angle θ to the diameter that she should row is; θ = 56.44°
<h3>How to find the angle of an arc?</h3>
It should be noted that;
a = 90° - θ. Thus;
b = 2θ
For any circle, the angle subtended (in radians) is equal to the arc length (d_w ) divided by the radius (1.2). Thus; d_w = 4θ .
The time required to walk this distance is given by;
t_w = 4θ/5 = 0.8θ
The distance rowed is given by: cos θ = d_r/2.4
d_r = 2.4cos θ while the time needed for it is;
t_r = 2.4cos θ/3.5
t_r = 0.6857θ
Thus, total time is;
T(θ) = t_r + t_w
T(θ) = 0.6857θ + 0.8θ
T(θ) = 1.4857θ
Now we need the critical numbers:
T'(θ) = 1 - 1.2 sin θ
At T'(θ) = 0, we have;
1 - 1.2 sin θ = 0
1/1.2 = sin θ
θ = sin⁻¹(1/1.2)
θ = 56.44°
Read more about angle of an Arc at; brainly.com/question/2005046
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