The height of the mountain is 0. 2 km
<h3>How to determine the height</h3>
First, let's find the hypotenuse of the second triangle
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan 3. 5 = x/ 19
cross multiply
x = tan 3 . 5 × 19
x = 0. 061 × 19
x = 1. 16 km
Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain
Using the sine identity:
sin 9 = y/ 1.16
cross multiply
y = sin 9 × 1. 16
y = 0. 1564 × 1. 16
y = 0. 18 km
y = 0. 2 km in one decimal place
Thus, the height of the mountain is 0. 2 km
Learn more about angle of elevation here:
brainly.com/question/2004882
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Count backwards from 10 until you reach the number. for 8 you count 10,9,8 and for 3 you count 10,9,8,7,6,5,4,3. 8 is greater because it took <span>less </span>time to get there from 10. you could also count up from 0 (0,1,2,3 or 0,1,2,3,4,5,6,7,8). If you count from 0, the greatest is the one that takes the most amount of time
Answer:
Step-by-step explanation:
<u>We know that:</u>
- Samantha = 15 + 2x
- Matt = 3 + 4x
- Samantha = Matt
- [x = Number of hours]
<u>Solution:</u>
- 15 + 2x = 3 + 4x
- => 15 - 3 = -2x + 4x
- => 12 = 2x
- => x = 6
Hence, after 6 hours of work, Samantha and Matt will have the same amount.
Alright, so it would be helpful to think about this question in terms of units. You're given a distance (meters) and speed (meters per second). You're asked for time (which is in seconds).
If you do
, your answer will be in seconds. So divide your distance (2.28 x 10^11 meters) by your speed (3.00 x 10^8 meters/second), and you should get your time!
