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ivolga24 [154]
3 years ago
15

The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degree

s, how far is the boat from the shore?
Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer and Step-by-step explanation:

           | \

           |   \

           |      \

           |         \

           |            \

100 ft.  |              \

           |         2     \

           |_________\

                    x

Use tangent to find the x.

tan(2) = \frac{100}{x}

x = \frac{100}{tan(2)}

Use a calculator to evaluate.

x = \frac{100}{tan(2)} = 2863.6253

So, the boat is 2,863.63 feet from the shore.

#teamtrees #WAP (Water And Plant)

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You are in charge of planning a reunion party for your high school alumni. The food will cost $12 per person. The rental fee for
castortr0y [4]

Answer:

$3820 total, $32 per alumnus.

Step-by-step explanation:

The total cost will be 12\times120+650+730+1000=3820

Each alumnus pays \frac{3820}{120} =31\frac{5}{6}

Rounding to nearest whole number = $32 per alumnus.

5 0
2 years ago
Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how
skelet666 [1.2K]

Jeff received 280$ from his mother

Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick  1 :

1 – 1/4 = 3/4 (used for the 1st 7 days)

1/4 – 410 (used for 8th and 9th days)

(3/4)/7 ——- (1/4 – 10)/2

(3/4) x (2/7) = 3/14 ——- (1/4 – 10)

1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10

28/28 ——- 10 x 28 =$ 280

Trick 2 :

7 days ——- 3/4

1 day ——- 3/28

2 days ——- 6/28

6/28 ——- (1/4 – 10) = 7/28 – 410

1/28 ——- 10

28/28 ——- 10 x 28 = $280

Thus Jeff received 280$ from his mother.

Learn more about simple math here :

brainly.com/question/23678

#SPJ4

4 0
2 years ago
PLEASE help with this question
Tema [17]

Answer:

option A

12m/s

Step-by-step explanation:

Given in the question,

mass of object = 11kg

kinetic energy possess by = 792 joules

To find the velocity we use formula

v =  \sqrt{\frac{2KE}{m} }

Plug values in the formula

v = \sqrt{\frac{2(792)}{(11)} }

v = \sqrt{\frac{1584}{11} }

v = \sqrt{144}

v= 12 m/s

3 0
3 years ago
You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 minutes to set up the game
Luba_88 [7]

Answer:

I think the equation is 7l +5=60

Step-by-step explanation:


7 0
3 years ago
A 5 pound bag of clay cost $2.65. At this rate how much would a 2 pound bag cost?
Nutka1998 [239]
2.65/5=.53(price per pound)
.53*2lbs=1.06
a 2 lb bag will cost $1.06
3 0
3 years ago
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