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Kitty [74]
3 years ago
8

Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang

le from C to A to be 55°. Knowing that the angle between CB and BA was 90°, they used trig to solve for the distance. Show how it was done

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

<h3>AB ≈ 70m</h3>

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

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Answer:

$233.39

Step-by-step explanation:

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Add all these values up to find the total cost of your order excluding tax.

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Next find the price w/ tax. Multiply 308 by 8.25%, or 0.0825.

308 * 0.0825 = 25.41

Now you add the tax to the total value.

308 + 25.41 = 333.41

The total value including tax is $333.41. The online retailer is offering a 30% savings (discount), so multiply the total price including tax by 30% (0.30).

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Now you subtract the discount from the total price.

333.41 - 100.023 = 233.38700

The question say the answer rounded to the nearest cent or hundredths, so your final answer is 233.39.

The final price of the clothing including all discounts and taxes is $233.39.

7 0
3 years ago
Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?
MrMuchimi

Answer:

each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*

7 0
2 years ago
A person creates a game in which a person pays $5.00 to play. Then, they draw a single card from a standard shuffled deck of car
valkas [14]

Answer:

Step-by-step explanation:

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There are 52 cards in a deck.

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3 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

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7 0
3 years ago
ANSWER ASAPPP In​ 2000, the population of St. Louis was​ 346,904, and it decreased to​ 319,257 in 2010. If this population decre
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I just did it on my homework and it said that my answer is right

8 0
2 years ago
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