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
to the nearest thousandth.
EXPLANATION
The given irrational number is
We use the calculator to evaluate this to obtain,
To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.
Answer:
y = 7/2x -11/2
Step-by-step explanation:
7x-2y=11
Subtract 7x from each side
7x-2y -7x = -7x+11
-2y = -7x+11
Divide each side by -2
-2y/-2 = -7x/-2 +11/-2
y = 7/2x -11/2
Find out how far Molly walks in 1 minute.
4/70 = 0.057 miles
In 100 minutes,
0.057x100 = 5.714 miles
Rounded to the nearest tenth, 5.7 miles.
Hope I helped :)
