The vertical angle of a cone us 70 degrees and its slant height is 11cm. Calculate the height of the cone

Answer 1

draw a diagram of the side view. It should be clear that the height h can be found via

sin70° = h/11

Answer 2

Yes

Answer 3

I need this Question to be solved

Answer 4

Someone should please solve this question

Answer 5

This a trigonometry ratio question .In this case we will use sine tetar.
Sine=opp/hyp
Since we did not have the opp, we let x represent the opposite
Sin70°=x/11
Sin70°=0.9396
0.9396=x/11
We cross multiply
11×0.9396=10.3366
The final answer is 10.3366cm approximately=10cm
The height is 10cm

Answer 6

This is a trigonometry ratio question and according to this we are using the sine titan.
Sine=opp/hyp.
Let x represent the height which is the opp.
Sine=70°
X/11=sine 70.
Cross multiply which will provide x=11sine70°.
x=11×0.77389
x=8.51279.
Approximately my answer is 9.

Answer 7

Answer:
The Height of the Cone = 10.3367 cm

Step-by-step explanation:

The height of the cone = h
sin 70° = 0.9397

sin 70° = h / 11cm
h = 0.9397 × 11cm
h = 10.3367 cm

The Height of the Cone = h = 10.3367 cm

Answer 8

Sin 70 = x/11
x/11 = 0.9396/1
11 x 0.9396 = 10.3366
Approximately my answer is 10cm.

Answer 9

Your answer of 10cm is close, but not exact. The correct answer is actually 10.3367cm when rounded to 4 decimal places.