Tonya is 1.3 meters tall. she stands 7 meters in front of a tree and casts a shadow 1.8 meters long. how tall is the tree?

The tree is 6.36 meters tall.

Step-by-step explanation:

Given:

Tonya is 1.3 meters tall.

She stands 7 meters in front of a tree and casts a shadow 1.8 meters long.

Now, to find the height of the tree.

Let the height of tree be .

As, Tonya is 1.3 metres tall and casts 1.8 metres shadow.

Thus, height of 1.3 meters is equivalent to 1.8 metres.

So, is equivalent to 7+1.8 meters.

As, she stands 7 meters in front of a tree and casts a shadow 1.8 meters long.

Now, we solve by using cross multiplication method:

By cross multiplying we get:

Dividing both sides by 1.8 we get:

Therefore, the tree is 6.36 meters tall.

a

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.