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AURORKA [14]
2 years ago
12

A forest ranger spots a fire from a 115 meter tall tower. The angle of depression from the forest ranger to the fire is 28o. Wha

t is the distance to the fire from the base of the tower? Round your answer to the nearest tenth
Mathematics
1 answer:
nikklg [1K]2 years ago
4 0

Answer:

61.15 m

Step-by-step explanation:

From trigonometry :

Tan x = opposite / Adjacent

x = 28°

Tan 28 = distance from base to fire / height

0.5317094 = distance from base to fire / 115

distance from base to fire = 115 * 0.5317094

distance from base to fire = 61.15 m

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Emma buys 3 2/3 yards of blue fabric and some yellow yellow fabric at the store she buys a total of 5 1/3 yards of fabric the eq
UkoKoshka [18]

Answer:

yellow fabric 5/3 yards

Step-by-step explanation:

convert the mixed numbers into improper fractions:

3 2/3 =   11/3                 5 1/3=16/3

16/3 - 11/3 = 5/3

3 0
3 years ago
Which sign makes this statement true​
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Answer:

The = sign

Step-by-step explanation:

1 11/20 = 31/20 = 1.55 and 1.55 =1.55

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3 years ago
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A woman had 88 goats.20 of them died.how many did he remains with. ​
Ksju [112]
Nothing cause she used to have 88 and 20 of them died so yeah nothing remains I guess
7 0
2 years ago
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15) Find the value of x in the given square<br> Area = 34 in
lyudmila [28]

Answer:

Area of a square is given by:

A = a2

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6 0
2 years ago
In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294
slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

a_4=54 and a_7=1458

To find a_{12}:

The given sequence is a geometric sequence.

The general term of the geometric sequence is a_n=a_1\ r^{n-1}.

If we have 2 terms of a geometric sequence a_n and a_k (n > K),

then we can write the general term as a_n=a_k\ r^{n-k}.

Here we have a_4=54 and a_7=1458.

So, n = 7 and k = 4 ( 7 > 4)

a_7=a_4\ .\ r^{7-4}

1458=54\ . \  r^3

This can be written as

$r^3=\frac{1458}{54}

$r^3=27

$r^3=3^3

Taking cube root on both sides of the equation, we get

r = 3

a_{12}=a_7\ .\ r^{12-7}

     =1458\ .\ r^5

     =1458\ .\ 3^5

a_{12}=354294

Hence the 12th term of the geometric sequence is 354294.

7 0
2 years ago
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