1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NISA [10]
3 years ago
11

Jack’s eyes are 5 feet above the ground. He is standing 400 feet from the base of a building. His line of sight forms a 67° angl

e with the top of the building. How tall is the building?

Mathematics
2 answers:
DedPeter [7]3 years ago
5 0

Answer:

960.7 ft

Step-by-step explanation:

A right triangle is formed where the distance between Jack and the base of the building is one of the triangles legs and the height of the building plus 5 feet is the other leg (let's call it x). The included angle between the hypotenuse and the distance between Jack and the base of the building is 67°. From definition:

tan(α) = opposite/adjacent

tan(67) = x/400

x = tan(67)*400

x = 965.7 ft

Then, the height of the building is 965.7 ft - 5 ft = 960.7 ft

FromTheMoon [43]3 years ago
3 0

Answer: 947.34 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.  

tan α = opposite side / adjacent side  

Where α is the angle that His line of sight forms with the top of the building, the opposite side is the height of the building minus 5, and the adjacent side is the distance between him and the building (400)

Replacing with the values given:  

tan 67 = x/ 400

Solving for x  

tan 67 (400) =x  

x= 942.34 feet

We have to add 5 feet, since we calculated the height of the building minus the eye level.

942.34 +5 = 947.34 feet

Feel free to ask for more if needed or if you did not understand something.  

You might be interested in
Write the coordinate point for the vertex of this parabola: x=1/4y^2
ololo11 [35]
Hello :
x =(1/4)y²
<span> the coordinate point for the vertex is :  O ( 0, 0)</span>
5 0
3 years ago
You buy 60 of your favorite songs from a Web site that charges ​$0.99 for each song. What is the cost of 60 ​songs? Use mental m
castortr0y [4]

Answer:

$59.4

Step-by-step explanation:

Round up: 60*1 = $60. Everytime you add $0.99, you subtract off a penny, so you will subtract off 60 pennies. 60 cents from the original answer, so 60-0.6=59.4.

7 0
3 years ago
Ayuda plis es para hoy​
aivan3 [116]
Es la segunda media es 1.65, mediana es 1.65, y modo es 1.61
5 0
2 years ago
I NEED ALL THE HELP PLEASE SHOW YPUR WORK TO HELPP ITS DO IN 1 hour
abruzzese [7]

Assuming that Jeremy spent the entire $100 on the party supplies, here's the breakdown:

$100 - $30 = $70 remaining.

$70 - $10 = $60 remaining.

If he spent $60 on ten hats, and each hat was the same price, then each hat would have cost:

hat = \frac{60}{10}\\hat = 6


The equation is as follows:

100 - 30 - 10 - 10(6)


Each hat was $6

3 0
2 years ago
What is: -1/8+3/8-5/8+7/8=
sergeinik [125]

Answer:

= 1/2

Step-by-step explanation:

- 1/8 + 3/8 - 5/8 + 7/8 = ?

2/8 - 5/8 +7/8

-3/8 + 7/8

= 4/8 --> (simply) =1/2

Hope it was helpful! If you are unsure about something or my answer is wrong then please let me know so I fix my mistakes! Also a good website to use is Desmos Scientific Calculator to check your answer!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Jk,kl, and lj are all tangent to circle o, ja=13,al=7, and ck=10 what is the perimeter of angle JKL
    7·1 answer
  • A DJ tracks the song requests she receives on a Friday night. She noted that the number of requests for country songs was 2 more
    12·1 answer
  • If the federal reserve sells 70,000 in treasury bonds to a bank at 9%
    11·1 answer
  • I need some help with this
    12·1 answer
  • What are the solutions to x2 + 8x + 7 = 0?
    11·1 answer
  • What is the difference in hours and minutes between these times 10:35 2:40
    7·2 answers
  • The perimeter of a rectangular garden is 37.5 feet (ft). The width is x and the length is 15 ft. What is the width, in feet, of
    8·2 answers
  • Which of the following will most likely produce sample proportions that are
    12·1 answer
  • Together, teammates Pedro and Ricky got 2861 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each p
    10·2 answers
  • Nick was playing a game with his friends. In the game, he received points for correct answers and lost points for incorrect answ
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!