Answer:
384 cm²
Step-by-step explanation:
Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

Area of a triangular face
= ½ ×12 ×10
= 60 cm²

Base area of pyramid
= 12 ×12
= 144 cm²
∴ Surface area of pyramid
= 4(60) +144
= 240 +144
= 384 cm²
Given:
A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.
The distance between plan and mountain is 10 km.
A short time later, the bearing to the mountain becomes 45°.
Here NM is the distance between the plane from the mountain when the second bearing is taken.
We need to find the measure of NM.

The sum of the supplementary angles is 180 degrees.





We know that the sum of all three angles of the triangle is 180 degrees.






Consider the sine law.

Take the equation to find the measure of NM.





Hence the measure of NM is 8.1 km.
The plane is 8.1 km far from the mountain when the second bearing is taken.
If you look at the figure, you will see that there is an angle opposite each angle whose value we have. Therefore, just do (3x+2x+x)·2= 6x·2=12x
Now, 360/12=30°
x=30°
Kat should tell Kim that It's too late to change the area of this kite because the length of the diagonals of a kite determines its area.
<h3>How to calculate the area of a kite?</h3>
In Mathematics, the area of a kite is equal to one-half the product of the length of its diagonals. Mathematically, the area of a kite can be calculated by using this formula:
A = ½ × d₁ × d₂
<u>Where:</u>
- d₁ and d₂ are the length of the diagonals of a kite.
Since Kit has already cut his sticks for the diagonals, Kat should tell him that it's too late to change the area of this kite because the length of the diagonals of a kite determines its area.
Read more on area of a kite here: brainly.com/question/9593985
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