questions in image

Question

LSA = __________ TA = __________

Answer 1

First you have to find the missing sides of the triangle

You have to apply the Phytagorean Theorem:

a²+b²=c²

b=4

The b is given.

a²+4²=c²

You plug in the values.

Remember the phytagorean triplets. Since this triangle is a 30, 60, 90 degrees triangle it has a triplet.

The solutions should turn out to be 3, 4, 5.

ANS: 3,4,5

Now you have to apply these things in the LSA formula for the figure .

LSA= pi*r sqrt(h²+r²)

Plug in the values in the equation (Use 22/7 for pi)

(22/7)(4) sqrt(3)(4)²

The solution should turn out to be rounded to the nearest hundredth which is 348.39.

ANS: LSA= 348.39

Now the second part of the question states to find the total area: (Use 22/7 for pi)

A_tot=A_lat+(22/7)*(r)²

Now plug in the values

A_tot=(348.39)+(22/7)*(4)²

r=4, remember the radius is 4.

The solution turns out to be rounded to the nearest tenth is 17,519.00

ANS: TA= 17,519.00

Answer 2

A_L= πr√(h² + r²)

A_T = A_L + πr²