Answer: The height of the mountain is 1,331.4 meters (approximately)
Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.
The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;
Tan β = opposite/adjacent
Tan 59 = AC/800
Tan 59 x 800 = AC
1.6643 x 800 = AC
1331.44 = AC
AC ≈ 1331.4
Therefore the height of the mountain is approximately 1,331.4 meters
Answer:
56/3
Step-by-step explanation:
6x-54=3x+2
3x-54=2
3x=56
x=56/3
Answer:
r=4
Step-by-step explanation:
Answer:
8.333333
Step-by-step explanation:
3x+2(4+6x)=133
3x+8+12x=133 First I distibuted the 2 too the 4 and 6x
15x+8=133 Then I added the x es 3x and 12x
15x+8-8=133-8 Then I subracted 8 from both sides
15x=125 That leaves with this
15x/15=125/15 Now I divide 15 from both sides to isolate x
x= 8.33333 that is the answer
check
3x+2(4+6x)=133
3*8.333333+2(4+6*8.333333)=133
24.999999 +2(4+ 49.999998)=133
24.999999+2( 53.999998)=133
24.999999+107.999996=133
132.999995=133
You can not get an exact answer for this problem
The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is 
.
Given
The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable.
<h3>The magnitude of an earthquake</h3>
The magnitude of an earthquake is a measure of the energy it releases.
For an earthquake with 1,000 times more intense than a standard earthquake.
The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is;
Hence, the equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is .
To know more about the magnitude of earthquakes click the link given below.
brainly.com/question/1337665
