Answered

Join the IDNLearn.com community and start exploring a world of knowledge today. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

Find the height of the cone. Round to the nearest hundredth, if necessary. Show your work.

Find The Height Of The Cone Round To The Nearest Hundredth If Necessary Show Your Work class=

Sagot :

Answer:

The height of the cone is 6.16 inches

Explanation:

Given:

diameter of the cone = 4 inches

Angle BAC = 72°

To find:

the height of the cone

To determine the height of the cone, we will use the right-angled triangle formed in the cone:

Diameter = 2(radius)

radius = diameter/2

radius = 4/2

radius = 2 inches

Height = BC

To get the height, we will apply the tan ratio (TOA):

[tex]tan\text{ 72\degree = }\frac{opposite}{adjacent}[/tex][tex]\begin{gathered} tan\text{ 72\degree = }\frac{BC}{2} \\ BC\text{ = 2\lparen tan 72\degree \rparen} \\ BC\text{ = 2\lparen3.0777\rparen} \end{gathered}[/tex][tex]\begin{gathered} BC\text{ = 6.1554} \\ \\ The\text{ height of the cone is 6.16 in} \end{gathered}[/tex]

View image JayzonA1157
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.