Answer:
Step-by-step explanation:
The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.
Use Pythagorean to verify
- 20² = 16² + 12²
- 400 = 256 + 144
- 400 = 400
Confirmed
Answer:
Height of second tower = 17.32m
Step-by-step explanation:
I have attached a diagram depicting the question.
From the diagram, The first tower is depicted by side AEB and the second tower CD.
While d is the distance that separates the two towers and it's given as 15m.
Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.
Thus; using trigonometric ratios;
tan 60° = AB/AC.
This gives; AB = d*tan 60°
Similarly, for the triangle BED, BE = d*tan 30°
Since, AE = CD, thus ;
CD = AB − BE
CD = d (tan 60° − tan 30°)
CD = 15(1.7321 − 0.5774)
CD = 15 × 1.1547
CD ≈ 17.32 m.
So, height of second tower = 17.32 m
Answer:
Step-by-step explanation:
The graph below is how you label the points, where to put them and the line that you need to draw to get the points.
Everything is laid out for you to copy. Start at the lower right and go to the to the upper left on your table.
A) it represents trough fill rate. It basically states after 8 minutes, the water level raised 28 cm.
B) for every 1 minute of pouring, the water level rises 3.5 centimeters.
C) if you look at those points as proportions
6/21 = 1/3.5
Or 8/28 = 1/3.5
They both can be proportionate.