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
yarga [219]
3 years ago
14

A ranger spots a forest fire on a 24-meter observation tower. The angle of depression from the tower to the fire is 29°. To the

nearest meter, how far is the fire from the base of the tower?
Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0
Let x= distance to fire

tan29 = 24/x
x tan29 =24
x = 24/tan29
x= 43.30m (2dp)
ivann1987 [24]3 years ago
5 0
4.57 meters away from the fire

You might be interested in
Complete the table to find the rule for the dilation, the coordinates of trapezoid P′Q′R′S′, and the coordinates of the dilated
Soloha48 [4]

Answer:

Give me 100 points and ill answer it

Step-by-step explanation:

Translation 5,2

8 0
3 years ago
Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?
olga nikolaevna [1]
The answer would be A: $24.95
5 0
3 years ago
Read 2 more answers
I need help pls pls pls plspls plspls pls
leonid [27]
23: √6.91, √49, 15/2, 7 1/8
( i will do the rest in the comments as i finish them)
8 0
3 years ago
What is the volume of the pyramid?
k0ka [10]

Answer:

The volume of the rectangular pyramid is 80cm³

Step-by-step explanation:

To calculate the volume of a rectangular pyramid we have to use the following formula:

v = volume

w = width = 8 cm

l = length = 6 cm

h = height = 5 cm

v = (w * l * h) / 3

we replace the values that ​​we know        

v = (8cm * 6cm * 5 cm) / 3

v = 80cm³

The volume of the rectangular pyramid is 80cm³

4 0
3 years ago
Read 2 more answers
Pat wishes to fence in a rectangular area, using the wall of her garage as one side, so only three sides need to be fenced. If s
natali 33 [55]

Answer:

The maximum area is 800 ft².

Step-by-step explanation:

Lets call L the length of the side parallel to the garage and M the length of the other two sides. The total amount to fence is 2M+L and the area is L*M.

Since Pat got 80ft of fence, then 2M+L = 80, hence L = 80-2M. By replacing the value of L in the formula of the area, we get that

A(M) = M*(80-2M) = -2M² + 80M

The maximum of this function can be obtaining throught derivation, but since it is a quadratic with negative main coefficient, we know that the maximum is the vertex. The x-coordinate of the vertex is '-b/2a' = -80/2*(-2) = 20. The y-coordinate (which represents the maximum area),  as a result, is A(20) = -2*20²+80*20 = 800.

800 is the maximum area that can be fenced. Note that M = 20 and L = 80-2L = 40.

8 0
4 years ago
Other questions:
  • Graph the functions f(x)=−6x+14 and g(x)=−2x+6 on the same coordinate plane. What are the solutions of the equation −6x+14=−2x+6
    12·1 answer
  • How would this be just the coordinates
    13·2 answers
  • Find the angle of an supplement of an angle that measures 89
    10·1 answer
  • Cody can paint a 15 ft. by 18 ft. wall in 50 minutes. He had to paint eight of these walls in his house. If he finished at 7:40
    13·2 answers
  • For field day 84 girls and 78 boys will be split into teams. Each team will have the same number of girls and the same number of
    14·2 answers
  • HELP..... To get a particular shade of green color, Ronald, a researcher, mixes 6 containers of green dye to every 3 containers
    13·1 answer
  • Take two- HOW DO I SOLVE THISSSSSSSSS
    12·1 answer
  • Plsssssssssss helppp
    6·1 answer
  • What is the area of this triangle? 0 480 m2 525 m2 675 m2 900 m2​
    12·2 answers
  • Helpppppppppppp pleasee!!!!!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!