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
Maru [420]
3 years ago
7

Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50

º, respectively. If Susan and Mark are 7 kilometers apart and the bird is between them, the bird is at a height of kilometers from the ground.

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

You might be interested in
Find the sum of the first 30 multiples of 8.
Anna11 [10]

Step-by-step explanation:

sum of the arithmetic sequence

a1 = 8

a2 = a1 + 8 = 8+8 = 16

...

an = 8×n

the sum of the first n elements of such a series is

n/2 × (2×a1 + (n - 1)×d]

with d being the difference between 2 consecutive elements (= the added constant).

so,

s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720

3 0
2 years ago
Write the equation of the line that's passes through (2,-3) and a slope of -5 I standard form
sashaice [31]
Y= - 5x + 7 

Use the point and slope to solve for b, which is 7. 
7 0
3 years ago
A Mercedes can go 78 miles on 3 gallons of gas. How far can it go with a full tank of 16 gallons?
Alex787 [66]

Answer:

416 miles

Step-by-step explanation:

78 divided by 3 = 26

26 x 16 = 416

5 0
2 years ago
Just makes a punch that is 1/4 cranberry juice which two fractions are equivalent to 1/4
viva [34]
2/8 and 4/16 are equivalent to 1/4

6 0
3 years ago
Read 2 more answers
The largest major arc is:<br> MHJ<br> JMG<br> GNM<br> HLI
crimeas [40]

Answer:

the correct answer is HLI

7 0
2 years ago
Other questions:
  • given a system of equations, list three ways that we can write new equations that can be used to create equivalent systems
    13·1 answer
  • City x has a population of 3x10 to the fifth power. City y has a population of 6x10 to the sixth power. Which statement is true?
    13·1 answer
  • A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 ​respon
    14·1 answer
  • Each day, a factory produces a total of 280 containers of ice cream. The flavors are vanilla, chocolate, and strawberry. Each da
    5·1 answer
  • Zander is mixing orange paint in a jar. The color that he is making requires 2 tablespoons of red and 3
    5·1 answer
  • Lee and his friends ate 9/2 pizzas. How many pizzas is in mixed number forms
    6·1 answer
  • This sim plying a algebraic equation by collecting the like terms will mark brainliest TYSM
    12·1 answer
  • Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE
    10·2 answers
  • One popular fast-food chain ordered (a) 2,400,000 slices of cheese last year. In December, the chain reached its goal of serving
    8·1 answer
  • Show that the triangles are similar by measuring the lengths of their sides and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!