Answer:
17
8/17
Step-by-step explanation:
x=
sin∠D = 
Answer:
36°, 42°, 72°, 102°, 108°
Step-by-step explanation:
Angles at a point = 360°
Therefore:
(3x - 6) + x + 3x + 2x + (x + 6) = 360°
Open parthenogenesis
3x - 6 + x + 3x + 2x + x + 6 = 360
Add like terms
10x = 360
Divide both sides by 10
x = 36
✔️Value of each angle:
Plug in the value of x in each expression
x = 36°
3x - 6 = 3(36) - 6 = 102°
3x = 3(36) = 108°
x + 6 = 36 + 6 = 42°
2x = 2(36) = 72°
<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
