I wish I had an answer for you! Unfortunately, this one has stumped even professional mathematicians for over a century. It was first presented by mathematician Edmund Landau in 1912, and it’s gone unproven ever since. I can’t give you a solution, but I can definitely say you should submit your findings to a mathematical journal if you ever find one!
Answer:
4.09 m
Step-by-step explanation:
Let the length of the shadow cast by a person be x m.
Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
If Walter rode 12 times and 24 was deducted, then each bus ride costs :
24/12 = $ 2 per ride
