Answer:
❝ D. 13 feet ❞
Step-by-step explanation:
Here,
- Window is in the rectangular shape.
- Measure of its one diagonal is 13 feet.
According to the properties of rectangle,
→ Diagonals of a rectangle are equal.
So, here the length of other diagonal will be 13 feet too.
Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
Answer:
180 houses
Step-by-step explanation:
The 3 part of the ratio 10 : 3 represents 30 bungalows, thus
30 ÷ 3 = 10 ← value of 1 part of the ratio
10 parts = 10 × 10 = 100 ← number of flats
The 5 part of the ratio 9 : 5 represents 100 flats, thus
100 ÷ 5 = 20 ← value of 1 part of the ratio, then
9 parts = 9 × 20 = 180 ← number of houses
Answer:

Step-by-step explanation:
The right triangle has the hypotenuse = 18
Let 'Ф' be the missing angle
we know that
cos Ф = adjacent/hypotenuse
Here,
so
cos Ф = adjacent/hypotenuse



Therefore, the missing angle is:

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