I need help I'm stuck on this
1 answer:
a) The length of p is 21.4 cm
b) The measure of angle P is 45.6°
<h3>Trigonometry </h3>From the question, we are to determine the length of p
From the <em>Pythagorean theorem</em>, we can write that
30² = 21² + p²
p² = 30² - 21²
p² = 900 - 441
p² = 459
p = √459
p = 21.4 cm
∴ The length of p is 21.4 cm
b)
Measure of angle P
Using SOH CAH TOA
cos P = 0.7
P = cos⁻¹(0.7)
P = 45.6°
Hence, the measure of angle P is 45.6°
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Answer:
15.8 ft
Step-by-step explanation:
The inclined plane, the base of and the shelving unit form the shape of a right angled triangle.
The hypotenuse is the length of the inclined plane, h.
The base of the triangle is 15 ft.
The height of the triangle is 5 ft.
To find the hypotenuse, h, we have to use Pythagoras rule:
where a = height of the triangle
b = base of the triangle
Therefore:
The inclined plane is 15.8 ft long.
