<h3>
Answer:</h3>
8.70 ft
<h3>
Step-by-step explanation:</h3>
We are given;
- Shadow of a tree as 25 ft
- Height of a person as 4ft
- Shadow of the person as 11.5 ft
We are required to determine the height of the tree
<h3>
Step 1: Find the angle of elevation from the tip of the shadow to the top of the person.</h3>
tan θ = opp/adj
In this case; Opposite side = 4 ft
Adjacent side = 11.5 ft
Therefore; tan θ = (4 ft ÷ 11.5 ft)
tan θ = 0.3478
θ = tan⁻¹ 0.3478
θ = 19.18°
<h3>Step 2: Calculate the height of the tree</h3>
The angle of elevation from the tip of the shadow of the tree to the top of the tree will 19.18°
Therefore;
Opposite = Height of the tree
Adjacent = 25 ft
Thus;
tan 19.18 ° = x/25 ft
x = tan 19.18° × 25 ft
= 0.3478 × 25 ft
= 8.695
= 8.70 ft
Therefore, the height of the tree is 8.70 ft
Answer:
68 m^2
Step-by-step explanation:
There are two faces that are parallelograms. Each of those has an area that is the product of length and width:
(2 m)·(4 m) = 8 m^2
There are two faces that are rectangles. Each of those has an area that is the product of length and width:
(2.5 m)·(4 m) = 10 m^2
There are two faces that are square. Each of those has an area that is the square of the edge length:
(4 m)^2 = 16 m^2
The surface area is the sum of the areas of the pairs of faces:
surface area = 2(8 m^2 + 10 m^2 + 16 m^2) = 2·34 m^2
surface area = 68 m^2
Answer:
6) 2/3
7) 1/2
8) 5/8
9) 3/4
10) 1
11) 1
12) 7/12
Hope this helps :^)
Step-by-step explanation:
Answer:
there are going to be 3 solutions
