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Allisa [31]
3 years ago
8

Two hikers come to a ravine and want to know how wide it is. They set up two similar triangles as shown in the diagram. How far

is it across the ravine?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

d = 80 ft

Step-by-step explanation:

Start with angle BCA, tan(BCA) = 30/15 so BCA = 63.43 degrees.

BCA = ECD since they are opposite angles.

tan ECD = d/40

40 tan(63.4degrees) = d

d = 80 ft

Alternatively, you can use similar triangles since the angles are the same, BCA = ECD, CED = CAB, and CBA = EDC. In that case use proportions to get 30/15 = d/40 so 2 = d/40 and d = 80.

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MakcuM [25]

Answer:

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5 0
2 years ago
The equation y=4x+4 estimates the number of U.S. households, in millions, expected to install devices that receive and manage br
Pepsi [2]

Answer:

X ≥9 years after 2009.

Step-by-step explanation:

Y=4x+4

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7 0
3 years ago
Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.4
aivan3 [116]

The inequality that represents the possible combinations of candy bars and  lollipops that he can buy is given by:

0.45x + 0.25y \leq 28

<h3>What is the inequality that models this situation?</h3>

The total price can be no more than $28, hence:

T \leq 28

Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:

T = 0.45x + 0.25y.

Hence, the inequality that models the situation is:

0.45x + 0.25y \leq 28

More can be learned about inequalities at brainly.com/question/25235995

6 0
2 years ago
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5 0
3 years ago
Read 2 more answers
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Varvara68 [4.7K]
In SOHCAHTOA you want to use cosine (CAH)
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Use algebra to get x by itself.
So type into your calculator:

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3 years ago
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