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
____ [38]
2 years ago
15

From the observation deck of a skyscraper, Harper measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If

the observation deck is 1145 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
5 0

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Data;

  • Angle = 45 degree
  • Observation deck (adjacent) = 1145 ft
  • horizontal distance (opposite) = x

<h3>Trigonometric Ratios</h3>

Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance

tan\theta = \frac{opposite}{adjacent}

Substitute the values into the equation and solve

tan45 = \frac{x}{1145}\\ x = 1145tan45\\x = 1145ft

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Learn more on trigonometric ratio here;

brainly.com/question/4326804

You might be interested in
I NEED IT FAST
djverab [1.8K]

Answer:

  1. r little 4  t little 2
  2. ------------------------
  3.            4
  4. sorry it didn't let me right it correctly

Step-by-step explanation:

8 0
3 years ago
Solve with steps<br> 5^(x+3)=25^(x-2)
Taya2010 [7]

5^(x+3)=25^(x-2)

Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)


x + 3 = 2(x-2)

Simplify:

X + 3 = 2x -4

Add 4 to both sides:

X + 7 = 2x

Subtract x from both sides

X = 7


Answer: x = 7

6 0
2 years ago
If an item that originally cost $14 is decreased to $12, what is the percentage of decrease in the item?
KengaRu [80]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Graph: f(x) = |x – 2| – 4
soldi70 [24.7K]

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

<h3>Graphing modulus function</h3>

Modulus of a function are positive value of a function. Given the modulus expression as shown

f(x) = |x – 2| – 4

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

The resulting graph of the function is as shown below;

Learn more on graph here: brainly.com/question/14323743

#SPJ1

3 0
2 years ago
An electrician needs 6 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 3/4 of a roll of w
Vera_Pavlovna [14]

Answer:

  1/8 room

Step-by-step explanation:

  (3/4 roll)/(6 rolls/room) = (3/4)(1/6) rooms = 1/8 rooms

With 3/4 roll of wire, the electrician can wire 1/8 of a room.

4 0
3 years ago
Other questions:
  • 6 times 1/5 less than 1 , equal to 1, or greater than 1?
    13·1 answer
  • Which formula represents this sequence 2,8,14...?
    15·1 answer
  • Problem 3
    5·1 answer
  • James is looking into life insurance. He currently makes $50,000 a year and has two children, ages 15 and 11. How much coverage
    7·2 answers
  • Amanda composed two songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 28
    8·2 answers
  • Please help ASAP this is 6th grade math plz
    8·1 answer
  • What does A = and what does B =​
    15·2 answers
  • What is (2,4) translated 3 units up and 2 units right ?
    10·1 answer
  • The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
    15·1 answer
  • Use the diagram to determine which is the correct net of the given figure. Then, explain why the other nets are not correct--exp
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!