Answer:
1353 ft
Step-by-step explanation:
The cliff height and the distance from its base to the boat form the legs of a right triangle. The cliff height is the leg opposite the elevation angle, and the distance to the boat is the leg adjacent. Given these two legs of the triangle, the tangent relation seems useful:
Tan = Opposite/Adjacent
We want to find the cliff height (opposite), so we can multiply this equation by Adjacent:
Opposite = Adjacent×Tan
cliff height = (2994 ft)(tan(24°19')) ≈ 1353 ft
The cliff is about 1353 feet high.
Answer:
Andre has more money in his savings account.
Step-by-step explanation:
We need to have equations for both Andre and Elena. Andre starts with $100 in his savings and adds $5 per week. Based on this, Andre's equation will be y = 5x + 100. Elena starts with $10 and adds $20 per week. Based on this, Elena's equation will be y = 20x + 10.
Andre: y = 5x + 100
Elena: y = 20x + 10
We have to figure out who will have more money in their account after 4 weeks. To do that, we plug in 4 into x because x is the number of weeks.
Andre: y = 5(4) + 100
y = 20 + 100
y = 120
Andre has $120 after 4 weeks.
Elena: y = 20(4) + 10
y = 80 + 10
y = 90
Elena has $90 after 4 weeks.
Which is greater? $120 or $90? That's right, its $120. Andre has more money in his savings account. I hope this helps!
