All categories

2 years ago

In ΔKLM, the measure of ∠M=90°, the measure of ∠L=76°, and LM = 99 feet. Find the length of KL to the nearest tenth of a foot.

Mathematics

1 answer:

hram777 [196]2 years ago

7 0

Answer:

The length of KL is 409.2 foot

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

From the diagram, we can see that we are asked to calculate the value of the hypotenuse KL. Kindly note that the hypotenuse is the longest side of the right-angled triangle and it faces the angle 90 at all times.

Looking at what we have, we can see that we have adjacent and we are asked to calculate hypotenuse.

The trigonometric identity to use here is the Cosine

Cosine = length of adjacent/length of hypotenuse

cos 76 = 99/hypotenuse

hypotenuse = 99/cos76

hypotenuse = 99/0.24192

hypotenuse = 409.22 which is 409.2 to the nearest tenth of a foot

You might be interested in

Help me please :))) have a good day also

Ede4ka [16]

1) 2+12a
2) 8-5x
3)12-3z
i think those are the answers :)

8 0

2 years ago

Who is square root 3

BARSIC [14]

Answer:

Square root of 3 = 1.7321

7 0

3 years ago

Read 2 more answers

Please help me out............................

Alina [70]

Answer:

Step-by-step explanation:

If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.

We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:

m∠QPR + m∠PRQ + m∠RQP = 180°

We have

m∠QPR = m∠PRQ and m∠RQP = 60°

Therefore

2(m∠QPR) + 60° = 180° subtract 60° from both sides

2(m∠QPR) = 120° divide both sides by 2

m∠QPR = 60° and m∠PRQ = 60°

Therefore ΔPRQ is equaliteral.

ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore

m∠SPR = m∠PRS

In ΔAPS we have:

m∠SPR + m∠PRS + m∠RSP = 180°

2(m∠SPR) + 90° = 180° subtract 90° from both sides

2(m∠SPR) = 90° divide both sides by 2

m∠SPR = 45° and m∠PRS = 45°

m∠PRQ = m∠PRS + b

Susbtitute:

60° = 45° + b subtract 45° from both sides

15° = b

3 0

2 years ago

There are 20 chocolate candies in a bag.

Eduardwww [97]

Answer:

Step-by-step explanation:

20/20 X 100 = 100%

have a good day

3 0

2 years ago

I really need help with this ASAP

Alexandra [31]

Answer:

No. of boxes = 10

Oranges per box = 56

Total no. of oranges = 56*10=560

No. of bad oranges = 560/40= 14

(i) Probability of bad orange = 14/560 = 1/40

(ii) no of oranges expected to be bad = 14 ( found above)

Hope it helps.............. :)

7 0

3 years ago