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A ladder is placed against a wall.

To be safe, it must be inclined at between 70° and 80° to the ground.

5.8m

O 11N/Ma1 lesson 3438

HERRER

1.5m

MM

G

(a) is the ladder safe?

A ladder is placed against a wall To be safe it must be inclined at between 70 and 80 to the ground 5 8m O

Answer :

The angle is between 70° to 80°.

Yes, the ladder is safe.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

tan Θ = 5.8 / 1.5

Θ = tan (5.8 / 1.5)

Θ = 75.5°

The angle is between 70° and 80°.

Thus,

The ladder is safe.

Learn more about trigonometric identities here:

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Rewritten by : Barada

Answer:

yes it is safe.

Step-by-step explanation:

Tan^-1 (5.8/1.5)

theta = 75.5

yes, it is safe