I need help please its really easy
2 answers:
You might be interested in
We use trigonometry because we know an angle and a side length.
We are looking for one of the sides that isn't the hypotenuse:
As illustrated by the picture I made below:
We know both unknown angles will be 45 degrees, as there are 180 degrees in a triangle, we know the triangle is a right angle triangle (has 90 degrees) so, (180-90)/2 = 45
Using SOH CAH TOA, short for : SIN- OH COS- AH TAN- OA
We are looking for the one with H, as we know what H is.
I am picking "SIN- OH", but we could use "COS- AH"
The formula for this is: Sin(angle) = O/H
<u /><u>We substitute the angle (45) and the length for H (16)
</u>
Sin(45)= O/16 <- rearrange it
Sin(45)*16= O <- Solve in the calculator
13.6145 (4 DP)= O
The legs = O
The legs have a length of "13.6145 (4 DP)" each
We are looking for one of the sides that isn't the hypotenuse:
As illustrated by the picture I made below:
We know both unknown angles will be 45 degrees, as there are 180 degrees in a triangle, we know the triangle is a right angle triangle (has 90 degrees) so, (180-90)/2 = 45
Using SOH CAH TOA, short for : SIN- OH COS- AH TAN- OA
We are looking for the one with H, as we know what H is.
I am picking "SIN- OH", but we could use "COS- AH"
The formula for this is: Sin(angle) = O/H
<u /><u>We substitute the angle (45) and the length for H (16)
</u>
Sin(45)= O/16 <- rearrange it
Sin(45)*16= O <- Solve in the calculator
13.6145 (4 DP)= O
The legs = O
The legs have a length of "13.6145 (4 DP)" each
The total surface area of the solid is 4651 sq cm
Step-by-step explanation:
Given,
The diameter of the base = 16 cm
Length of the cylindrical part (h) = 75 cm
The height of the solid = 90 cm
So, the radius of the base(r) = cm = 8 cm
The height of the cone = 90 - 75 cm = 15 cm
The slanting height(l) of the cone = cm = 17 cm [ by Pythagoras theorem]
To find the total surface area of the solid
The solid consists of two separate solids that are a cylinder and a cone.
So, total surface area (TSA) of the solid = TSA of cylinder + TSA of cone
To find the TSA pf cylinder
Formula
TSA of cylinder = 2πrh +2πr
=2πr(r+h)
=2 ××8×(8+75) sq cm
= 4173.7 sq cm (approx)
Again,
To find the TSA pf cone
Formula
TSA of cone = πrl +2πr
=πr(l+2) sq cm
= ×8×(17+2) sq cm
= 477.7 sq cm (approx)
Hence, total surface area (TSA) of the solid = 4173.7 sq cm + 477.7 sq cm
= 4651.4 sq cm