All categories

3 years ago

From a balloon 1106 feet high, the angle of depression to the

Mathematics

1 answer:

Leto [7]3 years ago

7 0

Answer:the distance from the headquarters from a point on the ground directly below the balloon is

175 feet

Step-by-step explanation:

The right angle triangle ABC formed is shown in the attached photo. C represents the position of the balloon.

A represents the position of the ranger headquarters.

x represents the distance from the headquarters from a point on the ground directly below the balloon.

1 minute = 0.0167 degrees

Converting 43' to degrees, it becomes 43 × 0.0167 = 0.7181

Angle A = 66 + 0.7181 = 66.7181 degrees.

We would apply trigonometric ratio

Tan # = opposite side/ adjacent side

# = 66.7181 degrees.

opposite side = 1106

Tan 66.7181 = 1106/x

6.324 = 1106/x

x = 1106/6.324

x = 175 feet

You might be interested in

The product of 10 and a number is 3 less than the number.

djverab [1.8K]

Answer:

-1/3

Step-by-step explanation:

The product of 10 and a number is 3 less than the number.

Ok, lets call this number x.

10x = x-3 is how to algebraically write this out.

now, lets subtract x from both sides

9x = -3

Divide by 9

x = -1/3

5 0

2 years ago

David bought a car for 5000$ for how much should he sell it if he wants 10% profit from it

BartSMP [9]

Answer:

Step-by-step explanation:

5,500$ lol

8 0

4 years ago

Read 2 more answers

Find which term in the geometric sequence 1,3,9,27,... is the first to exceed 7,000.

Zielflug [23.3K]

The common ratio between terms is 3, so the sequence has general $n$ -th term

$a_n=3^{n-1}$

for $n\ge1$ . The term exceeds 7000 when

$3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06$

which means the first time $a_n$ exceeds 7000 occurs when $n=10$ . Indeed,

$a_{10}=3^{10-1}=19,683$

while the previous term would have been

$a_9=3^{9-1}=6561$

8 0

4 years ago

a box of crackers has a volume of 48 cubic inches. what is the volume of a similar box that is smaller by a scale factor of 2/3

earnstyle [38]

For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
V = 14.22222222 in ^ 3

6 0

3 years ago

HELP! GEOMETRY

Ivan

Step-by-step explanation:

Volume is cubed. so it would be 6^3

so 6*6*6 = 216

3 0

3 years ago