A surveyor standing some distance from a mountain, measures the angle of elevation from the ground to the top of the mountain to be 47°57′52″47°57′52″. The surveyor then walks forward 13741374 feet and measures the angle of elevation to be 73°3′35″73°3′35″. What is the height of the mountain? Round your solution to the nearest whole foot.

The height of the mountain is 2305 feet.

Step-by-step explanation:

Given that:

We are provided with the angles are in degree, minutes and seconds, we are required to convert them back to degrees.

So, 47°57′52″ in degrees only will be :

=

=

= 47.9644°

47.96°

For the second angle after he walked a distance if 1374 feet; we have:

73°3′35″

=

=

= 73.000485°

73

From the image attached below;

x = 180° - 73° = 107°  ( angles on a striaght line)

107° + 47.96° + y = 180°   ( sum of angles in a triangle)

y = 180° - 107° - 47.96°

y = 25.04

Using sine rule:

a × sin 25.04 = 1374 × sin 47.96

a = 2410.68

From the figure, using trigonometry rule;

h = sin 73 × 2410.68

h = 0.9563 × 2410.68

h = 2305.33 feet

To the nearest whole number , the height is 2305 feet.

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00