Answer:
B
Step-by-step explanation:
using the tangent ratio on the triangle on the right and the exact value
tan60° = , then letting the altitude be h
tan60° = =
=
( multiply both sides by h )
11 = h ×
( divide both sides by
)
11 = h
using the sine ratio in the triangle on the left and the exact value
sin45° = , then
sin45° = =
=
=
( cross- multiply )
× x = 22
( divide both sides by
)
x = 22
<u>Answer:</u>
Surface area = 1084 in²
<u>Step-by-step explanation:</u>
To find the surface area of a right cone, we can use the following formula:
,
where:
• r = radius
• l = slant height.
In the question, we are told that the diameter of the cone is 30 in. Therefore its radius is (30 ÷ 2 = ) 15 in. We are also told that its height is 8 in.
Using this information and the formula above, we can calculate the surface area of the cone:
Surface area =
=
1084 in²