At what point do the lines represented by the equations y=3x+1 and y=−2x−8 intersect?
1 answer:
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Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ =
=
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is , and the height of the tree is 10 m, then the distance, d, across the river would be;
d =
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Answer:
91 days
Step-by-step explanation:
Given that,
A planet is at a distance of 98,000,000 km from the centre of the star.
It orbits at an average speed of 45,000 km/h.
The speed of an object is given by the distance covered divided by the time taken. So,
or
t = 90.74 days ≅ 91 days
So, the planet take 91 days to orbit the star.