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vitfil [10]
3 years ago
10

Melissa sees a lighthouse from her sailboat. She knows the height of the lighthouse is 154 feet. She uses a measuring device and

determines that the angle to the top of the lighthouse from her boat is 35°. How far is the sailboat from the base of the lighthouse?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0

Answer:

219.9  feet to the nearest tenth.

Step-by-step explanation:

Use trigonometry:

tan 35 = opposite / adjacent side

= 154/x

x =  154 / tan35

= 219.93

julsineya [31]3 years ago
6 0

Answer:

219.9 ft

Step-by-step explanation:

After looking at pic, cross multiply to get x tan(35)=154

then divide both sides by tan(35) giving x=154/tan(35)

x is approximately 219.9 ft

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For the circle with equation (x-2)^2+(y+3)^2=9, answer each question. a) whats coords of the center? b) what are the radius and
MrRissso [65]

Answer:

<h2>a) center (2, -3)</h2><h2>b) radius r = 3</h2><h2>c) in the attachment</h2>

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have:

(x-2)^2+(y+3)^2=9\\\\(x-2)^2+(y-(-3))^2=3^2

a) center (2, -3)

b) radius r = 3

c) in the attachment

4 0
3 years ago
3. Evaluate the expression 4(52-3-2x)² where x = 5.<br> O-1296<br> O1296<br> O 576<br> O-576
boyakko [2]

The value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.

To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.

The term 5² = 25.

The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.

Taking the terms back to the expression, we get:

4(5² - 3 - 2x)²

= 4(25 - 3 - 10)²

= 4(12)²

= 4(144)

= 576.

Thus, the value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

Learn more about solving expressions at

brainly.com/question/723406

#SPJ9

3 0
2 years ago
4/7= 5/p. What is P? Pleas solve and show you r work!
vodka [1.7K]
This is a proportion. First you take the numerator times the denominator that is already solved. In this case you will take 5 times 7 and get 35. You then take 35 divided by 4 and get your answer.

8 0
3 years ago
Simplify this please
aliina [53]

Answer:

2a +5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Follow the steps above and find c, the total of payments of the payments, and the monthly payment. Choose the right answers. Jan
Alex_Xolod [135]
Whats the answers people come on
7 0
3 years ago
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