Question

Safe or not, he made it up the tower, since he is, after all, a warrior. The ransom note
read "If you wish to see Princess Eva alive, bring all the diamonds from the royal
treasury to the Kingdom of Far Far Away". Zachary wasted no time. He headed for
the Kingdom of Far Far Away, which involved crossing the great river. He decides to
take some measurements and use similar triangles to determine the width of the river.
3) Zachary can swim for a maximum of 75 metres before becoming too tired and
drowning. Is he able to swim across the river? hint: the ratio of corresponding
sides are equal, redraw the triangles so they look similar.
m
u
m
20m
50m
Im
24m
X
}

Answer 1

The width of the river = 60m and so Zachary will be able to swim the river without getting tired.

What is Proportion ?

When two ratios are equal , the ratio are said to be in proportion.

As given in the question ,

the width of the river has to be determined

Looking at the figure , the triangle formed at the side of the river is a right triangle the hypotenuse will be determined from the Pythagoras theorem

20² +24² = y²

y = 21.2 m

As the corresponding sides are proportional

31.2 : z = 20:50

z = 78.1

The value of the width of the river will be determined by the Pythagoras Theorem

78.1² = 50² + x²

x = 60m

the width of the river = 60m

Therefore Zachary will be able to swim the river without getting tired.

To know more about Proportion

https://brainly.com/question/2548537

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