A ladder 15 feet long leans against the top of a structure at a 60 degree angle to the ground. What is the height of the buildin
2 answers:
Answer:
The height of the building is the long leg. 12.99 foot
Step-by-step explanation:
The triangle is a 30° - 60° - 90°.
In this type of triangle the hypotenuse = the short leg × 2. (it is opposite the 30° angle). The Long leg = the short leg √3
hypotenuse is the length of the ladder.
The height of the building is the long leg. 12.99 foot
Answer:
height of the building is 12.99 feet.
Step-by-step explanation:
given, try to analyse:
- ladder 15 feet long.
- 60 degree angle to the ground.
the height of the building is opposite to the angle 60° and given hypotenuse, the ladder of 15 feet long.
using sine rule:
Therefore the height of the building is 12.99 feet.
You might be interested in
Answer:
The common ratio is
Step-by-step explanation:
To find the common ratio in a geometric sequence divide the next term by the previous term
That's
The first term is 3 and the next term is 4
so the common ratio will be
<h2>3/4</h2>Hope this helps you.
Answer:
1
Step-by-step explanation:
Factorise numerators/ denominators where possible
3x² - 4x + 1 = (x - 1)(3x - 1)
x² - 1 ← is a difference of squares and factors as
x² - 1 = (x - 1)(x + 1)
Expressing the product in factored form
×
Cancel common factors on numerator/denominator, that is
Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1
Answer:
The manufacturer's claim is not supported
Step-by-step explanation:
The time duration the battery of the foldable drone is said to last, μ = 4 hours
The number of drones that were tested, n = 10 drones
The sample mean, = 4.2 hours
The standard deviation, s = 0.4 hours
The hypothesis test level of significance = 0.5
The null hypothesis, H₀; μ = 4
The alternative hypothesis, Hₐ; μ ≠ 4
The test statistic is given as follows;
We get;
Therefore, the test statistic, t ≈ 1.58
The degrees of freedom, d. f. = n - 1
For n = 10, we have;
The degrees of freedom, d. f. = 10 - 1 = 9
From the t-table at 0.5 level of significance, the critical-t = 0.7
Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.