Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun

Answers

Answer 1
Answer:

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰


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Answers

Answer:

A

Step-by-step explanation:

What are the advantages of a closed​ question? A. Closed questions allow the respondent to go​ in-depth with their answers. B. It is possible to automate the collection of results for closed questions. C. Closed questions allow for new solutions to be introduced. D. It is easy to quantify and compare the results of surveys with closed questions.

Answers

Answer:

closed questions are questions with fixed answer options

A. Closed questions allow the respondent to go​ in-depth with their answers.

  • no, it is relevant to open questions

B. It is possible to automate the collection of results for closed questions.

  • yes

C. Closed questions allow for new solutions to be introduced.

  • no, it allows to collect statistical data but not good for new solutions, it better works with open questions when new ideas, solutions may appear

D. It is easy to quantify and compare the results of surveys with closed questions.

  • yes

anna needs at least $1000 to pay her bills this week.she has $250 in the bank and makes $15 an hour at her job.how many hours does she have to work thus week in order to pay her bills​

Answers

She should only have to work about 50 hours

Q #...10 somebody help me

Answers

The slope of a line can be found, given two points, as follows:


P_(1)(-5.5,6.1) \n \n P_(2)(-2.5,3.1) \n \n m=(y_(2)-y_(1))/(x_(2)-x_(1)) \n \n m=(3.1-6.1)/(-2.5-(-5.5))=-1


So this slope tells us the direction of a line and represents the vertical change divided by the horizontal change.

It is -1, at least thats what i got i hope this helped

A calzone is divided into 24 equal pieces. Sophie and Glenn each ate one-fourthof the calzone on Saturday. The next​ day, Glenn ate one-sixth
of the calzone that was leftover. How many of the pieces of the original calzone ​remain? Explain your reasoning.

Answers

Answer:

10 pieces

Step-by-step explanation:

Total no. of pieces of calzone = 24

No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

Total no of pieces eaten by both of them on saturday = 12.

No of pieces of calzone left = 24-12 = 12

_______________________________________________

No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone  left= 1/6 of 12 = (1/6)*12= 2 pieces

No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.

Thus 10 pieces  of original calzone are left  .

An element with a mass of 570 grams decays by 26.7% per minute. To the nearest minute, how long will it be until there are 40 grams of the element remaining?

Answers

Answer: x ≈ 9

Step-by-step explanation:

Near the end of the picture 8.553364=x

x ≈ 9