Answer:
The value of x is 106
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The triangle in the given figure has two sides equal
→ That means the triangle is an isosceles triangle
∴ The triangle is isosceles
∵ In the isosceles triangle, the base angles are equal in measures
∵ The measure of one base angle is 37°
∴ The measure of other base angle is 37°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ 37° + 37° + x = 180°
→ Add the like terms
∴ 74° + x = 180°
→ Subtract 74 from both sides
∵ 74 - 74 + x = 180 - 74
∴ x = 106
∴ The value of x is 106
Let
x-----> the measure of the angle formed by the wooden fence and grass
we know that
in a right triangle
tan x=opposite side angle x/adjacent side angle x
opposite side angle x=13 ft
adjacent side angle x=21 ft
so
tan x=13/21x=arc tan (13/21)-----> x=31.76°------> x=32°
the answer is
32 degrees
Answer:
7740° / 45
Step-by-step explanation:
The sum of the interior angles is given by this formula: (n - 2) * 180°. So a regular 45-gon would have interior angles that add up to: (45 - 2) * 180°. = 43 * 180°. = 7740°. Now divide that by the 45 angles to find the measure of one interior angle
hope that helped :(
Answer:
7.4 feets
Step-by-step explanation:
Distance from bottom of ladder to side of the house = d
θ = 62 ; height, h = 14
Using trigonometry :
Tan θ = opposite / Adjacent
Opposite = height ; adjacent = d
Tan 62° = 14 / d
1.8807264 * h = 14
d = 14 / 1.8807264
d = 7.44
