Hey there! I'm happy to help!
<u>In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse.</u> This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.
So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.
1/2h=12
Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.
h=24
Therefore, the hypotenuse is C) 24.
I hope that this helps! Have a wonderful day!
Answer:
Martha needs 10 more days
Step-by-step explanation:
25 Liters = 5 days
25*2=50 so double equation
25*2=5*2
50 Liters =10 days
it takes 10 days to jar 50 Liters of jam
Answer:
<4
Step-by-step explanation:
The vertex of the angle is on the lighthouse and one ray/angle is on the boat.
Answer:
15 m
explanation:
Let AB and CD be the pole and tower respectively. Let CD=h Then ∠DAC=60 ∘ and∠DBE=30 ∘ Now CA CD =tan60 ∘ = 3 ∴CD= 3 CA⇒ 3 h =CA Again BE DE =tan30 ∘ = 3 h ∴(h−10)= 3 BE = 3 CA ...[∵BE=CA] = 3 h/ 3 = 3 h ⇒3h−30=h⇒2h=30⇒h=15
Hence, height of the power =15 m
Answer:
7%
Step-by-step explanation: