1 August, 06:21

# If a road has a grade of 30°, this means that it's angle of elevation is 30°. If you travel 1.5 miles on this road, how much elevation have you gained in feet (5280 ft = 1 mile) ?

0
1. 1 August, 07:25
0
The elevation gained after travelling 1.5 miles = 3960 ft.

Step-by-step explanation:

Given data,

Angle of elevation = 30°

Distance traveled = 1.5 miles

1 mile = 5280 ft.

Therefore 1.5 miles = 5280 x 1.5

= 7920 ft.

The height can be calculated by,

sin 30° = height / 7920

1/2 = height / 7920

Height = 7920/2

= 3960 ft.

The elevation gained after travelling 1.5 miles will be 3960 ft.
The text contains a mathematical question about calculating elevation gain based on the angle of elevation and distance traveled, and it also provides a step-by-step answer to the question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
1 August, 06:21

# If a road has a grade of 30°, this means that it's angle of elevation is 30°. If you travel 1.5 miles on this road, how much elevation have you gained in feet (5280 ft = 1 mile) ?

0
1. 1 August, 07:25
0
The elevation gained after travelling 1.5 miles = 3960 ft.

Step-by-step explanation:

Given data,

Angle of elevation = 30°

Distance traveled = 1.5 miles

1 mile = 5280 ft.

Therefore 1.5 miles = 5280 x 1.5

= 7920 ft.

The height can be calculated by,

sin 30° = height / 7920

1/2 = height / 7920

Height = 7920/2

= 3960 ft.

The elevation gained after travelling 1.5 miles will be 3960 ft.
user
The text contains a mathematical question about calculating elevation gain based on the angle of elevation and distance traveled, and it also provides a step-by-step answer to the question.

TYPE: SINGLE_QUESTION_WITH_ANSWER